# OCME ยท Knowledge & practice explorer 302 MKO / 1,441 families / 360 batches / 36,000 questions. 36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training. 25 results; page 1/1. ## Question 25751: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0051`; number: 25751 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0051/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0051.json) ## Question 25752: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0052`; number: 25752 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0052/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0052.json) ## Question 25753: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0053`; number: 25753 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0053/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0053.json) ## Question 25754: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0054`; number: 25754 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0054/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0054.json) ## Question 25755: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0055`; number: 25755 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0055/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0055.json) ## Question 25756: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0056`; number: 25756 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0056/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0056.json) ## Question 25757: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0057`; number: 25757 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0057/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0057.json) ## Question 25758: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0058`; number: 25758 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0058/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0058.json) ## Question 25759: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0059`; number: 25759 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0059/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0059.json) ## Question 25760: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0060`; number: 25760 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0060/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0060.json) ## Question 25761: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0061`; number: 25761 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0061/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0061.json) ## Question 25762: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0062`; number: 25762 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0062/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0062.json) ## Question 25763: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0063`; number: 25763 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0063/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0063.json) ## Question 25764: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0064`; number: 25764 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0064/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0064.json) ## Question 25765: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0065`; number: 25765 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0065/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0065.json) ## Question 25766: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0066`; number: 25766 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0066/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0066.json) ## Question 25767: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0067`; number: 25767 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0067/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0067.json) ## Question 25768: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0068`; number: 25768 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0068/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0068.json) ## Question 25769: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0069`; number: 25769 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0069/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0069.json) ## Question 25770: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0070`; number: 25770 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0070/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0070.json) ## Question 25771: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0071`; number: 25771 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0071/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0071.json) ## Question 25772: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0072`; number: 25772 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0072/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0072.json) ## Question 25773: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0073`; number: 25773 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0073/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0073.json) ## Question 25774: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0074`; number: 25774 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0074/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0074.json) ## Question 25775: The Quotient-to-Image Map Requires a Complete Homomorphism and Bijection Audit - ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0075`; number: 25775 - Processing: second_context_reviewed - MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/) - Family: [qf-mod46-iso1-induced-isomorphism-audit](/en/explore/?family=qf-mod46-iso1-induced-isomorphism-audit) - Batch: [batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-foundations) - [Derivation](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0075/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0075.json)