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In mathematics, more specifically group theory, the three subgroups lemma is a result concerning commutators. It is a consequence of the Hall–Witt identity. ==Notation== In that which follows, the following notation will be employed: * If ''H'' and ''K'' are subgroups of a group ''G'', the commutator of ''H'' and ''K'' will be denoted by ; if ''L'' is a third subgroup, the convention that () = (),''L''] will be followed. * If ''x'' and ''y'' are elements of a group ''G'', the conjugate of ''x'' by ''y'' will be denoted by . * If ''H'' is a subgroup of a group ''G'', then the (and normalizer|centralizer )] of ''H'' in ''G'' will be denoted by CG(''H''). 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「Three subgroups lemma」の詳細全文を読む スポンサード リンク
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