# 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.

100 results; page 2/4.

## Question 12026: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0076`; number: 12026
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0076/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0076/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0076.json)

## Question 12027: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0077`; number: 12027
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0077/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0077/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0077.json)

## Question 12028: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0078`; number: 12028
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0078/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0078/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0078.json)

## Question 12029: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0079`; number: 12029
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0079/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0079/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0079.json)

## Question 12030: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0080`; number: 12030
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0080/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0080/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0080.json)

## Question 12031: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0081`; number: 12031
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0081/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0081/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0081.json)

## Question 12032: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0082`; number: 12032
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0082/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0082/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0082.json)

## Question 12033: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0083`; number: 12033
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0083/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0083/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0083.json)

## Question 12034: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0084`; number: 12034
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0084/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0084/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0084.json)

## Question 12035: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0085`; number: 12035
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0085/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0085/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0085.json)

## Question 12036: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0086`; number: 12036
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0086/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0086/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0086.json)

## Question 12037: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0087`; number: 12037
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0087/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0087/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0087.json)

## Question 12038: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0088`; number: 12038
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0088/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0088/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0088.json)

## Question 12039: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0089`; number: 12039
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0089/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0089/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0089.json)

## Question 12040: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0090`; number: 12040
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0090/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0090/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0090.json)

## Question 12041: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0091`; number: 12041
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0091/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0091/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0091.json)

## Question 12042: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0092`; number: 12042
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0092/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0092/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0092.json)

## Question 12043: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0093`; number: 12043
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0093/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0093/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0093.json)

## Question 12044: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0094`; number: 12044
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0094/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0094/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0094.json)

## Question 12045: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0095`; number: 12045
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0095/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0095/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0095.json)

## Question 12046: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0096`; number: 12046
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0096/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0096/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0096.json)

## Question 12047: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0097`; number: 12047
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0097/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0097/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0097.json)

## Question 12048: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0098`; number: 12048
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0098/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0098/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0098.json)

## Question 12049: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0099`; number: 12049
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0099/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0099/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0099.json)

## Question 12050: Preserve the Generation Order of One Cyclic Subgroup

- ID: `q-20261013-advance-20261026-r01-finite-abelian-group-0100`; number: 12050
- Processing: second_context_reviewed
- MKO: [mko-finite-abelian-group](/en/mko/mko-finite-abelian-group/)
- Family: [qf-mod26-abelian-cyclic-subgroup](/en/explore/?family=qf-mod26-abelian-cyclic-subgroup)
- Batch: [batch-20261013-advance-20261026-r01-finite-abelian-group-foundations](/en/explore/?batch=batch-20261013-advance-20261026-r01-finite-abelian-group-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0100/) / [Markdown](/en/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0100/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261026-r01-finite-abelian-group-0100.json)

[Next](/en/explore/index.md?mko=mko-finite-abelian-group&page=3)
