翻訳と辞書 Words near each other ・ PowerEdge VRTX ・ PoweredUSB ・ PowerEsim ・ Powerex ・ Powerex (electricity) ・ Powerex (semiconductors) ・ Powerex Corp. v. Reliant Energy Services Inc. ・ PowerFilm ・ Powerfin ・ Powerflasher FDT ・ Powerful (song) ・ Powerful goshawk ・ Powerful Music ・ Powerful number ・ Powerful owl ・ Powerful p-group ・ Powerful People ・ Powerful Robot Games ・ Powerful Stuff ・ Powerful Stuff (public information film) ・ Powerful Thing ・ Powerful Women of Wrestling ・ Powerful woodpecker ・ Powerful-class cruiser ・ PowerFX ・ Powergaming ・ PowerGenix ・ Powerglide ・ Powerglide (album) ・ Powerglide (disambiguation) 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 Powerful p-group ： ウィキペディア英語版 Powerful p-group In mathematics, in the field of group theory, especially in the study of ''p''-groups and pro-''p''-groups, the concept of powerful ''p''-groups plays an important role. They were introduced in , where a number of applications are given, including results on Schur multipliers. Powerful ''p''-groups are used in the study of automorphisms of ''p''-groups , the solution of the restricted Burnside problem , the classification of finite ''p''-groups via the coclass conjectures , and provided an excellent method of understanding analytic pro-''p''-groups . ==Formal definition== A finite ''p''-group $G$ is called powerful if the commutator subgroup $()$ is contained in the subgroup $G^p\; =\; \backslash langle\; g^p\; |\; g\backslash in\; G\backslash rangle$ for odd $p$, or if $()$ is contained in the subgroup $G^4$ for ''p''=2. 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「Powerful p-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.