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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク metacyclic group ： ウィキペディア英語版 metacyclic group In group theory, a metacyclic group is an extension of a cyclic group by a cyclic group. That is, it is a group ''G'' for which there is a short exact sequence :$1\; \backslash rightarrow\; K\; \backslash rightarrow\; G\; \backslash rightarrow\; H\; \backslash rightarrow\; 1,\backslash ,$ where ''H'' and ''K'' are cyclic. Equivalently, a metacyclic group is a group ''G'' having a cyclic normal subgroup ''N'', such that the quotient ''G''/''N'' is also cyclic. ==Properties== Metacyclic groups are both supersolvable and metabelian. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「metacyclic group」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.