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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 Burkhardt quartic ： ウィキペディア英語版 Burkhardt quartic In mathematics, the Burkhardt quartic is a quartic threefold in 4-dimensional projective space studied by , with the maximum possible number of 45 nodes. The equations defining the Burkhardt quartic become simpler if it is embedded in ''P''5 rather than ''P''4. In this case it can be defined by the equations σ1 = σ4 = 0, where σ''i'' is the ''i''th elementary symmetric function of the coordinates (''x''0 : ''x''1 : ''x''2 : ''x''3 : ''x''4 : ''x''5) of ''P''5. The automorphism group of the Burkhardt quartic is the Burkhardt group ''U''4(2) = PSp4(3), a simple group of order 25920, which is isomorphic to a subgroup of index 2 in the Weyl group of E6. ==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「Burkhardt quartic」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.