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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 Central subgroup ： ウィキペディア英語版 Central subgroup In mathematics, in the field of group theory, a subgroup of a group is termed central if it lies inside the center of the group. Given a group $G$, the center of $G$, denoted as $Z(G)$, is defined as the set of those elements of the group which commute with every element of the group. The center is a characteristic subgroup and is also an abelian group (because, in particular, all elements of the center must commute with each other). A subgroup $H$ of $G$ is termed ''central'' if $H\; \backslash leq\; Z(G)$. Central subgroups have the following properties: * They are abelian groups. * They are normal subgroups. They are central factors, and are hence transitively normal subgroups. == References == * . 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「Central subgroup」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.