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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 Thin group (algebraic group theory) ： ウィキペディア英語版 Thin group (algebraic group theory) In algebraic group theory, a thin group is a discrete Zariski-dense subgroup of ''G''(R) that has infinite covolume, where ''G'' is a semisimple algebraic group over the reals. This is in contrast to a lattice, which is a discrete subgroup of finite covolume. The theory of "group expansion" (expander graph properties of related Cayley graphs) for particular thin groups has been applied to arithmetic properties of Apollonian circles and in Zaremba's conjecture.〔http://gauss.math.yale.edu/~ho2/MSRI_Bourgain.pdf〕 ==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「Thin group (algebraic group theory)」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.