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In mathematical finite group theory, the Puig subgroup, introduced by , is a characteristic subgroup of a ''p''-group analogous to the Thompson subgroup. ==Definition== If ''H'' is a subgroup of a group ''G'', then ''L''''G''(''H'') is the subgroup of ''G'' generated by the abelian subgroups normalized by ''H''. The subgroups ''L''''n'' of ''G'' are defined recursively by *''L''0 is the trivial subgroup *''L''''n''+1 = ''L''''G''(''L''''n'') They have the property that *''L''0 ⊆ ''L''2 ⊆ ''L''4... ⊆ ...''L''5 ⊆ ''L''3 ⊆ ''L''1 The Puig subgroup ''L''(''G'') is the intersection of the subgroups ''L''''n'' for ''n'' odd, and the subgroup ''L'' *(''G'') is the union of the subgroups ''L''''n'' for ''n'' even. 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「Puig subgroup」の詳細全文を読む スポンサード リンク
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