Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (6): 1456-1464.

• Articles • Previous Articles     Next Articles

A Characterization of Almost Sporadic Simple Groups

 CHEN Yan-Heng1,2, CHEN Gui-Yun1*   

  1. 1.School of Mathematics and Statistics, Southwest University, Chongqing 400715;
    2.School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 400410
  • Received:2013-03-29 Revised:2014-04-12 Online:2014-12-25 Published:2014-12-25
  • Contact: CHEN Gui-Yun,gychen@swu.edu.cn E-mail:math_yan@126.com; gychen@swu.edu.cn
  • Supported by:

    国家自然科学基金(11271301)、重庆市科委自然科学基金计划资助项目(CSTC2014jcyjA00009)、重庆市教委科学技术研究项目(KJ1401006)和中央高校基本科研业务费专项资金资助

Abstract:

A finite group G is said to be an almost simple related to L if and only if LGAut(L) for some simple group L. Further, if L is a sporadic simple group, then say that G is an almost sporadic simple group related to L. In this paper, we prove that all almost sporadic simple groups can be determined uniquely by their orders and no more than two special conjugacy class lengths.

Key words: Finite group, Almost sporadic simple groups, Prime graph, Conjugacy class length

CLC Number: 

  • 20D05
Trendmd