A note on character kernels in finite groups of prime power order

被引:12
作者
Qian, Guohua [1 ,2 ]
Wang, Yanming [1 ]
机构
[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China
[2] Changshu Inst Technol, Dept Math, Jiangsu 215500, Peoples R China
基金
中国国家自然科学基金;
关键词
finite p-group; p-group of maximal class; character kernel;
D O I
10.1007/s00013-007-2392-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note, we classify the finite groups of prime power order for which all nonlinear irreducible character kernels constitute a chain with respect to inclusion.
引用
收藏
页码:193 / 199
页数:7
相关论文
共 3 条
  • [1] BERKOVICH Y, 2004, GROUPS PRIME POWER O
  • [2] Huppert B., 1967, GRUNDLEHREN MATH WIS, V134
  • [3] Isaacs I.M., 1976, Character theory of finite groups, V69