# 有限群第一同構定理

[目錄呈現與來源綁定資料](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [有限群第一同構定理](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-first-isomorphism-theorem-finite-groups/)

有限群同態f:G→Q由kernel cosets誘導出G/ker f到im f的群同構，而非自動同構到整個codomain。

atlas-first-isomorphism-theorem-finite-groups · canonical_mko

[有限群第一同構定理](https://ocme.evemisslab.com/zh-Hant/mko/mko-first-isomorphism-theorem-finite-groups/)

## 前置節點


- [有限群同態的核](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-finite-group-homomorphism-kernel/)
- [有限商群](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-finite-quotient-group/)
- [子群與群同態](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-subgroup-homomorphism/)
- [雙射與唯一原像](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-bijective/)