# 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 24901: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0051`; number: 24901 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0051/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0051.json) ## Question 24902: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0052`; number: 24902 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0052/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0052.json) ## Question 24903: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0053`; number: 24903 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0053/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0053.json) ## Question 24904: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0054`; number: 24904 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0054/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0054.json) ## Question 24905: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0055`; number: 24905 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0055/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0055.json) ## Question 24906: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0056`; number: 24906 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0056/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0056.json) ## Question 24907: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0057`; number: 24907 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0057/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0057.json) ## Question 24908: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0058`; number: 24908 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0058/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0058.json) ## Question 24909: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0059`; number: 24909 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0059/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0059.json) ## Question 24910: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0060`; number: 24910 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0060/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0060.json) ## Question 24911: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0061`; number: 24911 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0061/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0061.json) ## Question 24912: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0062`; number: 24912 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0062/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0062.json) ## Question 24913: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0063`; number: 24913 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0063/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0063.json) ## Question 24914: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0064`; number: 24914 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0064/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0064.json) ## Question 24915: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0065`; number: 24915 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0065/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0065.json) ## Question 24916: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0066`; number: 24916 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0066/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0066.json) ## Question 24917: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0067`; number: 24917 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0067/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0067.json) ## Question 24918: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0068`; number: 24918 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0068/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0068.json) ## Question 24919: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0069`; number: 24919 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0069/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0069.json) ## Question 24920: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0070`; number: 24920 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0070/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0070.json) ## Question 24921: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0071`; number: 24921 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0071/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0071.json) ## Question 24922: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0072`; number: 24922 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0072/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0072.json) ## Question 24923: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0073`; number: 24923 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0073/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0073.json) ## Question 24924: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0074`; number: 24924 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0074/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0074.json) ## Question 24925: Image Equality Agrees with a Inverse Times b Membership in the Kernel - ID: `q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0075`; number: 24925 - Processing: second_context_reviewed - MKO: [mko-finite-group-homomorphism-kernel](/en/mko/mko-finite-group-homomorphism-kernel/) - Family: [qf-mod45-kernel-fiber-coset-equivalence](/en/explore/?family=qf-mod45-kernel-fiber-coset-equivalence) - Batch: [batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations](/en/explore/?batch=batch-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-foundations) - [Derivation](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0075/) / [Markdown](/en/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261114-r01-finite-group-homomorphism-kernel-0075.json)