A note on the kernels of nonlinear irreducible characters

被引：1
作者：
Li, Pujin [1 ]
机构：
[1] Shanxi Normal Univ, Dept Math, Taiyuan 030031, Shanxi, Peoples R China
来源：
PUBLICATIONES MATHEMATICAE DEBRECEN | 2024年 / 104卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
finite p-groups; normal subgroups; kernel of a nonlinear irreducible character; FINITE P-GROUPS; SUBGROUPS;
D O I：
10.5486/PMD.2024.9670
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a finite nonabelian group, and Kern(G) be the set of kernels of nonlinear irreducible complex characters of G. A nonabelian p -group such that all the elements of Kern( G) have the same order is called a P-group. We give a necessary and sufficient condition for a prime power order group to be a P-group.
引用
收藏
页码：185 / 193
页数：9
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