翻訳と辞書 Words near each other ・ Charadraula parcella ・ Charadriidae ・ Charadriiformes ・ Charadrius ・ Charadrophila ・ Characteristic impedance ・ Characteristic length ・ Characteristic mode analysis ・ Characteristic multiplier ・ Characteristic number (fluid dynamics) ・ Characteristic polynomial ・ Characteristic power series ・ Characteristic property ・ Characteristic set ・ Characteristic state function ・ Characteristic subgroup ・ Characteristic time ・ Characteristic variety ・ Characteristic vector ・ Characteristic velocity ・ Characteristic X-ray ・ Characteristica universalis ・ Characteristically simple group ・ Characteristics of common wasps and bees ・ Characteristics of dyslexia ・ Characteristics of Harold Pinter's work ・ Characteristics of New York City mayoral elections ・ Characterization ・ Characterization (disambiguation) ・ Characterization (materials science) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Characteristic subgroup ： ウィキペディア英語版 Characteristic subgroup In mathematics, particularly in the area of abstract algebra known as group theory, a characteristic subgroup is a subgroup that is invariant under all automorphisms of the parent group. Because conjugation is an automorphism, every characteristic subgroup is normal, though not every normal subgroup is characteristic. Examples of characteristic subgroups include the commutator subgroup and the center of a group. == Definitions == A characteristic subgroup of a group ''G'' is a subgroup ''H'' that is invariant under each automorphism of ''G''. That is, :$\backslash varphi(H)\; =\; H$ for every automorphism ''φ'' of ''G'' (where ''φ''(''H'') denotes the image of ''H'' under ''φ''). The statement “''H'' is a characteristic subgroup of ''G''” is written :$H\backslash mathrelG.$ 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「Characteristic 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.