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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Noetherian group ： ウィキペディア英語版 Subgroup series In mathematics, specifically group theory, a subgroup series is a chain of subgroups: :$1\; =\; A\_0\; \backslash leq\; A\_1\; \backslash leq\; \backslash cdots\; \backslash leq\; A\_n\; =\; G.$ Subgroup series can simplify the study of a group to the study of simpler subgroups and their relations, and several subgroup series can be invariantly defined and are important invariants of groups. A subgroup series is used in the subgroup method. Subgroup series are a special example of the use of filtrations in abstract algebra. ==Definition== 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「Subgroup series」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.