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Thompson subgroup : ウィキペディア英語版
Thompson subgroup

In mathematical finite group theory, the Thompson subgroup ''J''(''P'') of a finite ''p''-group ''P'' refers to one of several characteristic subgroups of ''P''. originally defined ''J''(''P'') to be the subgroup generated by the abelian subgroups of ''P'' of maximal rank. More often the Thompson subgroup ''J''(''P'') is defined to be the subgroup generated by the abelian subgroups of ''P'' of maximal order or the subgroup generated by the elementary abelian subgroups of ''P'' of maximal rank. In general these three subgroups can be different, though they are all called the Thompson subgroup and denoted by ''J''(''P'').
==See also==

*Glauberman normal p-complement theorem
*ZJ theorem
*Puig subgroup, a subgroup analogous to the Thompson subgroup

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「Thompson subgroup」の詳細全文を読む



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