On Baer-Suzuki π-theorems

被引：0
作者：
Revin D.O. [1 ]
机构：
[1] Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk
来源：
Siberian Mathematical Journal | 2011年 / 52卷 / 2期
基金：
俄罗斯基础研究基金会;
关键词：
π-element; π-radical; π-subgroup; Baer-Suzuki theorem; finite simple group; Hall; property D[!sub]π[!/sub; Sylow theorem;
D O I：
10.1134/S0037446611020170
中图分类号：
学科分类号：
摘要：
Given a set π of primes, say that the Baer-Suzuki π-theorem holds for a finite group G if only an element of Oπ(G) can, together with each conjugate element, generate a π-subgroup. We find a sufficient condition for the Baer-Suzuki π-theorem to hold for a finite group in terms of nonabelian composition factors. We show also that in case 2 ∉ π the Baer-Suzuki π-theorem holds for every finite group. © 2011 Pleiades Publishing, Ltd.
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收藏
页码：340 / 347
页数：7
相关论文
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