翻訳と辞書 Words near each other ・ Fixed-focus lens ・ Fixed-function ・ Fixed-gear bicycle ・ Fixed-income attribution ・ Fixed-income relative-value investing ・ Fixed-Mobile Convergence Alliance ・ Fixed-odds betting ・ Fixed-pattern noise ・ Fixed-point arithmetic ・ Fixed-point combinator ・ Fixed-point index ・ Fixed-point iteration ・ Fixed-point lemma for normal functions ・ Fixed-point property ・ Fixed-point space ・ Fixed-point subgroup ・ Fixed-point subring ・ Fixed-point theorem ・ Fixed-point theorems in infinite-dimensional spaces ・ Fixed-price contract ・ Fixed-priority pre-emptive scheduling ・ Fixed-radius near neighbors ・ Fixed-rate mortgage ・ Fixed-satellite service ・ Fixed-term contract ・ Fixed-term election ・ Fixed-term Parliaments Act 2011 ・ Fixed-term Work Directive ・ Fixed-wing aircraft ・ Fixedsys 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 Fixed-point subgroup ： ウィキペディア英語版 Fixed-point subgroup In algebra, the fixed-point subgroup $G^f$ of an automorphism ''f'' of a group ''G'' is the subgroup of ''G'': :$G^f\; =\; \backslash .$ More generally, if ''S'' is a set of automorphisms of ''G'' (i.e., a subset of th automorphism group of ''G''), then the set of the elements of ''G'' that are left fixed by every automorphism in ''S'' is a subgroup of ''G'', denoted by ''G''''S''. For example, take ''G'' to be the group of invertible ''n''-by-''n'' real matrices and $f(g)=(g^T)^$ (called the Cartan involution). Then $G^f$ is the group $O(n)$ of ''n''-by-''n'' orthogonal matrices. To give an abstract example, let ''S'' be a subset of a group ''G''. Then each element of ''S'' can be thought of as an automorphism through conjugation. Then :$G^S\; =\; \backslash$; that is, the centralizer of ''S''. ==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「Fixed-point 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.