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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 Absolutely simple group ： ウィキペディア英語版 Absolutely simple group In mathematics, in the field of group theory, a group is said to be absolutely simple if it has no proper nontrivial serial subgroups.〔.〕 That is, $G$ is an absolutely simple group if the only serial subgroups of $G$ are $\backslash$ (the trivial subgroup), and $G$ itself (the whole group). In the finite case, a group is absolutely simple if and only if it is simple. However, in the infinite case, absolutely simple is a stronger property than simple. The property of being strictly simple is somewhere in between. ==See also== * Ascendant subgroup * Strictly simple group 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「Absolutely simple 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.