Kernels of minimal characters of solvable groups

被引：0

作者：

Moreto, Alexander ^{[1
]}

机构：

[1] Univ Valencia, Dept Matemat, Burjassot, Valencia, Spain

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2024年 / 67卷 / 04期

关键词：

character kernel; minimal character; solvable group;

D O I：

10.1017/S0013091524000427

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite solvable group. We prove that if chi is an element of Irr(G) has odd degree and chi (1) is the minimal degree of the nonlinear irreducible characters of G , then G/ Ker chi is nilpotent-by-abelian.

引用

页码：1167 / 1170

页数：4

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