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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 : 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
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