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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 Kneser–Tits conjecture ： ウィキペディア英語版 Kneser–Tits conjecture In mathematics, the Kneser–Tits problem, introduced by based on a suggestion by Martin Kneser, asks whether the Whitehead group ''W''(''G'',''K'') of a semisimple simply connected isotropic algebraic group ''G'' over a field ''K'' is trivial. The Whitehead group is the quotient of the rational points of ''G'' by the normal subgroup generated by ''K''-subgroups isomorphic to the additive group. ==Fields for which the Whitehead group vanishes== A special case of the Kneser–Tits problem asks for which fields the Whitehead group of a semisimple almost simple simply connected isotropic algebraic group is always trivial. showed that this Whitehead group is trivial for local fields ''K'', and gave examples of fields for which it is not always trivial. For global fields the combined work of several authors shows that this Whitehead group is always trivial . 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「Kneser–Tits conjecture」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.