中文

Journal of Shanghai University >

2011 , Vol. 17 >Issue 5: 600 - 602

DOI: https://doi.org/10.3969/j.issn.1007-2861.2011.05.005

Mathematics.Physics and Chemistry

Finite Groups with the Given Length of Conjugacy Classes

Expand
  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2010-04-13

  Online published: 2011-10-26

Fold

Abstract

This paper characterizes the groups A6 and S6  by the set of size of conjugacy classes, and gets the following results: If cscs（G）=cs（G）={1, p3·r,p·q2·r,p3·q2,q2·r}, then G=A6; If cs（G）={1,q·r,p3·r,q2·r,p·q2·r,p3·q·r,p4·q2}, then G=S6.

Key words： conjugacy classes; finite groups; prime graphs; simple K3-groups

Cite this article

SHAO Chang-guo,JIANG Qin-hui . Finite Groups with the Given Length of Conjugacy Classes[J]. Journal of Shanghai University, 2011 , 17(5) : 600 -602 . DOI: 10.3969/j.issn.1007-2861.2011.05.005

Options
Outlines

/

〈 〉