Conjugacy class sizes and solvability of finite groups

被引：0
|
作者：
Qingjun Kong
机构：
[1] Tianjin Polytechnic University,Department of Mathematics
来源：
Monatshefte für Mathematik | 2012年 / 168卷
关键词：
Conjugacy class sizes; Solvable groups; Finite groups; 20D10; 20D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let G be a finite group and let G* be the set of elements of primary, biprimary and triprimary orders of G. We show that suppose that the conjugacy class sizes of G* are exactly {1, pa, n, pan} with (p, n) = 1 and a ≥ 0, then G is solvable.
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页码：267 / 271
页数：4
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