翻訳と辞書 Words near each other ・ Hall XP2H ・ Hall XPTBH ・ Hall's babbler ・ Hall's Bridge ・ Hall's conjecture ・ Hall's Croft ・ Hall's Harbour, Nova Scotia ・ Hall's identity ・ Hall's marriage theorem ・ Hall's Opera Block ・ Hall's Pictorial Weekly ・ Hall's Tavern ・ Hall's Tavern (Cheshire, Massachusetts) ・ Hall's Tavern (Falmouth, Maine) ・ Hall's theorem ・ Hall's universal group ・ Hall, Australian Capital Territory ・ Hall, Bishop's Tawton ・ Hall, California ・ Hall, Indiana ・ Hall, Montana ・ Hall, New York ・ Hall, Russell & Company ・ Hall, West Virginia ・ Hall-Benedict Drug Company Building ・ Hall-Crull Octagonal House ・ Hall-Dennis Report ・ Hall-effect thruster ・ Hall-London House ・ Hall-Scott 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 Hall's universal group ： ウィキペディア英語版 Hall's universal group In algebra, Hall's universal group is a countable locally finite group, say ''U'', which is uniquely characterized by the following properties. * Every finite group ''G'' admits a monomorphism to ''U''. * All such monomorphisms are conjugate by inner automorphisms of ''U''. It was defined by Philip Hall in 1959,〔Hall, P. ''Some constructions for locally finite groups.'' J. London Math. Soc. 34 (1959) 305--319. 〕 and has the universal property that ''all countable locally finite groups'' embed into it. == Construction == Take any group $\backslash Gamma\_0$ of order $\backslash geq\; 3$. Denote by $\backslash Gamma\_1$ the group $S\_$ of permutations of elements of $\backslash Gamma\_0$, by $\backslash Gamma\_2$ the group :$S\_=\; S\_=\; S\_$ acts on $\backslash Gamma\_i$ by permutations, and conjugates all possible embeddings $G\; \backslash hookrightarrow\; U$. 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「Hall's universal 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.