查看“︁Just-infinite群”︁的源代码

[[群論]]中一個[[無限群]]''G''稱為'''just-infinite'''，如果''G''的所有真[[商群]]都是[[有限群]]，也就是說所有非平凡[[正規子群]]都有有限[[指數 (群論)|指數]]。

==例子==
* 無限[[循環群]]<math>C_\infty</math>
* 無限[[二面體群]]<math>D_\infty</math>
* 無限[[單群]]

==參考==
* McCarthy, D., [http://onlinelibrary.wiley.com/doi/10.1002/cpa.3160210604/pdf Infinite groups whose proper quotient groups are finite, I] {{Wayback|url=http://onlinelibrary.wiley.com/doi/10.1002/cpa.3160210604/pdf |date=20170919071241 }}. Communications on Pure and Applied Mathematics. 1968, '''21'''(6):545–562.
* McCarthy, D., [http://onlinelibrary.wiley.com/doi/10.1002/cpa.3160230506/pdf Infinite groups whose proper quotient groups are finite, II] {{Wayback|url=http://onlinelibrary.wiley.com/doi/10.1002/cpa.3160230506/pdf |date=20160316093918 }}. Communications on Pure and Applied Mathematics. 1970, '''23'''(5):767–789.

[[Category:群論]]