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.

引用

页码：267 / 271

页数：4

共 50 条

[1] Conjugacy class sizes and solvability of finite groups
QINHUI JIANG
CHANGGUO SHAO
Proceedings - Mathematical Sciences, 2013, 123 : 239 - 244
[2] Conjugacy class sizes and solvability of finite groups
Jiang, Qinhui
Shao, Changguo
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2013, 123 (02): : 239 - 244
[3] Conjugacy class sizes and solvability of finite groups
Kong, Qingjun
MONATSHEFTE FUR MATHEMATIK, 2012, 168 (02): : 267 - 271
[4] A note on conjugacy class sizes and solvability of finite groups
Kong, Qingjun
MONATSHEFTE FUR MATHEMATIK, 2015, 177 (02): : 295 - 299
[5] A note on conjugacy class sizes and solvability of finite groups
Qingjun Kong
Monatshefte für Mathematik, 2015, 177 : 295 - 299
[6] Conjugacy class sizes of some elements and solvability of finite groups
Kong Q.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2015, 61 (1) : 61 - 63
[7] A note on the solvability of finite groups with four particular conjugacy class sizes
Shao, Changguo
Jiang, Qinhui
MONATSHEFTE FUR MATHEMATIK, 2015, 178 (03): : 453 - 456
[8] SOLVABILITY OF FINITE GROUPS WITH FOUR CONJUGACY CLASS SIZES OF CERTAIN ELEMENTS
Jiang, Qinhui
Shao, Changguo
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 90 (02) : 250 - 256
[9] A note on the solvability of finite groups with four particular conjugacy class sizes
Changguo Shao
Qinhui Jiang
Monatshefte für Mathematik, 2015, 178 : 453 - 456
[10] CONJUGACY CLASS SIZES IN FINITE GROUPS
Mann, Avinoam
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 85 (02) : 251 - 255

← 1 2 3 4 5 →