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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 factor ： ウィキペディア英語版 Central factor In mathematics, a central factor of a group ''G'' is a subgroup ''H'' such that there exists a subgroup ''K'' such that ''HK''=''G'' and every element of ''H'' commutes with every element of ''K''. The subgroup ''K'' can in fact be taken to be the centralizer of ''H'' in ''G''. The subgroup ''K'' is also a central factor. If ''H'' is a central factor, then every inner automorphism of ''G'' restricts to an inner automorphism of ''H''. In particular, a central factor is always a normal subgroup. Every normal subgroup of a central factor of a group ''G'' is a normal subgroup of ''G''. ==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 factor」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.