翻訳と辞書 Words near each other ・ Class of '78 ・ Class of '96 ・ Class of '99 ・ Class of 1812 (pinball) ・ Class of 1923 Arena ・ Class of 1951 Observatory ・ Class of 1952 Stadium ・ Class of 1984 ・ Class of 1999 ・ Class of 3000 ・ Class of 74 ・ Class of 9/11 ・ Class of 98 ・ Class of accuracy in electrical measurements ・ Class of Cabinet des Médailles 218 ・ Class of groups ・ Class of Heroes ・ Class of Nuke 'Em High ・ Class of service ・ Class of the Titans ・ Class Of... ・ Class officers ・ Class president ・ Class rank ・ Class rating ・ Class representative ・ Class reunion ・ Class Reunion (disambiguation) ・ Class Reunion (novel) ・ Class Reunion (That Used to Be Us) 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 Class of groups ： ウィキペディア英語版 Class of groups A class of groups is a set theoretical collection of groups satisfying the property that if ''G'' is in the collection then every group isomorphic to ''G'' is also in the collection. This concept arose from the necessity to work with a bunch of groups satisfying certain special property (for example finiteness or commutativity). Since set theory does not admit the "set of all groups", it is necessary to work with the more general concept of ''class''. == Definition == A class of groups $\backslash mathfrak~$ is a collection of groups such that if $G\backslash in\backslash mathfrak~$ and $G\backslash cong\; H~$ then $H\backslash in\backslash mathfrak~$. Groups in the class $\backslash mathfrak~$ are referred to as $\backslash mathfrak$-groups. For a set of groups $\backslash mathfrak~$, we denote by $(\backslash mathfrak)$ the smallest class of groups containing $\backslash mathfrak$. In particular for a group $G$, $(G)$ denotes its isomorphism class. 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「Class of groups」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.