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Quadratic pair : ウィキペディア英語版 | Quadratic pair In mathematical finite group theory, a quadratic pair for the odd prime ''p'', introduced by , is a finite group ''G'' together with a quadratic module, a faithful representation ''M'' on a vector space over the finite field with ''p'' elements such that ''G'' is generated by elements with minimum polynomial (''x'' − 1)2. Thompson classified the quadratic pairs for ''p'' ≥ 5. classified the quadratic pairs for ''p'' = 3. With a few exceptions, especially for ''p'' = 3, groups with a quadratic pair for the prime ''p'' tend to be more or less groups of Lie type in characteristic ''p''. ==See also==
p-stable 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「Quadratic pair」の詳細全文を読む
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