# 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. 100 results; page 3/4. ## Question 10951: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0026`; number: 10951 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0026/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0026.json) ## Question 10952: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0027`; number: 10952 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0027/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0027.json) ## Question 10953: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0028`; number: 10953 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0028/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0028.json) ## Question 10954: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0029`; number: 10954 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0029/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0029.json) ## Question 10955: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0030`; number: 10955 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0030/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0030.json) ## Question 10956: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0031`; number: 10956 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0031/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0031.json) ## Question 10957: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0032`; number: 10957 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0032/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0032.json) ## Question 10958: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0033`; number: 10958 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0033/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0033.json) ## Question 10959: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0034`; number: 10959 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0034/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0034.json) ## Question 10960: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0035`; number: 10960 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0035/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0035.json) ## Question 10961: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0036`; number: 10961 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0036/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0036.json) ## Question 10962: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0037`; number: 10962 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0037/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0037.json) ## Question 10963: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0038`; number: 10963 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0038/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0038.json) ## Question 10964: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0039`; number: 10964 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0039/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0039.json) ## Question 10965: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0040`; number: 10965 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0040/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0040.json) ## Question 10966: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0041`; number: 10966 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0041/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0041.json) ## Question 10967: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0042`; number: 10967 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0042/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0042.json) ## Question 10968: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0043`; number: 10968 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0043/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0043.json) ## Question 10969: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0044`; number: 10969 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0044/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0044.json) ## Question 10970: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0045`; number: 10970 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0045/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0045.json) ## Question 10971: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0046`; number: 10971 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0046/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0046.json) ## Question 10972: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0047`; number: 10972 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0047/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0047.json) ## Question 10973: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0048`; number: 10973 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0048/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0048.json) ## Question 10974: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0049`; number: 10974 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0049/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0049.json) ## Question 10975: Explicit Subgroup Closure, Identity and Inverse Obligations - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0050`; number: 10975 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-subgroup-audit](/en/explore/?family=qf-mod23-subgroup-subgroup-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0050/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0050.json) [Next](/en/explore/index.md?mko=mko-subgroup-homomorphism&page=4)