A FIXED-POINT THEOREM FOR CENTRAL ELEMENTS IN QUASISIMPLE GROUPS

被引:14
作者
BLAU, HI
机构
关键词
QUASISIMPLE GROUP; SIMPLE GROUP; SCHUR MULTIPLIER; CONJUGACY CLASS;
D O I
10.2307/2160844
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is shown that with a few exceptions (which are listed), any central element in a quasisimple finite group fixes some conjugacy class of the group under multiplication.
引用
收藏
页码:79 / 84
页数:6
相关论文
共 9 条
  • [1] ARAD Z, IN PRESS J ALGEBRA
  • [2] Conway J.H., 1985, ATLAS FINITE GROUPS
  • [3] FEIT W, 1988, ILLINOIS J MATH, V33, P103
  • [4] Gorenstein D., 1982, FINITE SIMPLE GROUPS
  • [5] Isaacs IM., 1976, CHARACTER THEORY FIN
  • [6] SCHUR I, 1973, GESAMMELTE ABHANDLUN
  • [7] Schur I., 1911, J REINE ANGEW MATH, V139, P155
  • [8] [No title captured]
  • [9] [No title captured]