# OCME · 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 25776: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0026`; number: 25776
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0026/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0026.json)

## Question 25777: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0027`; number: 25777
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0027/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0027.json)

## Question 25778: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0028`; number: 25778
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0028/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0028.json)

## Question 25779: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0029`; number: 25779
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0029/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0029.json)

## Question 25780: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0030`; number: 25780
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0030/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0030.json)

## Question 25781: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0031`; number: 25781
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0031/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0031.json)

## Question 25782: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0032`; number: 25782
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0032/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0032.json)

## Question 25783: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0033`; number: 25783
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0033/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0033.json)

## Question 25784: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0034`; number: 25784
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0034/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0034.json)

## Question 25785: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0035`; number: 25785
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0035/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0035.json)

## Question 25786: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0036`; number: 25786
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0036/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0036.json)

## Question 25787: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0037`; number: 25787
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0037/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0037.json)

## Question 25788: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0038`; number: 25788
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0038/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0038.json)

## Question 25789: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0039`; number: 25789
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0039/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0039.json)

## Question 25790: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0040`; number: 25790
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0040/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0040.json)

## Question 25791: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0041`; number: 25791
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0041/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0041.json)

## Question 25792: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0042`; number: 25792
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0042/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0042.json)

## Question 25793: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0043`; number: 25793
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0043/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0043.json)

## Question 25794: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0044`; number: 25794
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0044/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0044.json)

## Question 25795: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0045`; number: 25795
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0045/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0045.json)

## Question 25796: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0046`; number: 25796
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0046/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0046.json)

## Question 25797: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0047`; number: 25797
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0047/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0047.json)

## Question 25798: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0048`; number: 25798
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0048/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0048.json)

## Question 25799: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0049`; number: 25799
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0049/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0049.json)

## Question 25800: The Induced Map Must Agree on Every Kernel-Coset Representative

- ID: `q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0050`; number: 25800
- Processing: second_context_reviewed
- MKO: [mko-first-isomorphism-theorem-finite-groups](/en/mko/mko-first-isomorphism-theorem-finite-groups/)
- Family: [qf-mod46-iso1-induced-well-definedness](/en/explore/?family=qf-mod46-iso1-induced-well-definedness)
- 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-0050/) / [Markdown](/en/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r01-first-isomorphism-theorem-finite-groups-0050.json)