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Cartan–Brauer–Hua theorem : ウィキペディア英語版 | Cartan–Brauer–Hua theorem In abstract algebra, the Cartan–Brauer–Hua theorem (named after Richard Brauer, Élie Cartan, and Hua Luogeng) is a theorem pertaining to division rings. It says that given two division rings such that ''xKx''−1 is contained in ''K'' for every ''x'' not equal to 0 in ''D'', either ''K'' is contained in the center of ''D'', or . In other words, if the unit group of ''K'' is a normal subgroup of the unit group of ''D'', then either or ''K'' is central . ==References==
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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「Cartan–Brauer–Hua theorem」の詳細全文を読む
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