论文标题

简单组的通勤互动和​​基本的阿贝尔亚组

Commuting involutions and elementary abelian subgroups of simple groups

论文作者

Guralnick, Robert M., Robinson, Geoffrey R.

论文摘要

我们证明,如果G是一个有限的准简单群体,那么存在一个基本的Abelian g子群,它与G。

Motivated in part by representation theoretic questions, we prove that if G is a finite quasi-simple group, then there exists an elementary abelian subgroup of G that intersects every conjugacy class of involutions of G.

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