Variations on average character degrees and p-nilpotence

被引：6

作者：

Lewis, Mark L. ^{[1
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2016年 / 215卷 / 02期

关键词：

FINITE-GROUPS;

D O I：

10.1007/s11856-016-1393-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if p is an odd prime, G is a solvable group, and the average value of the irreducible characters of G whose degrees are not divisible by p is strictly less than 2(p + 1)/(p + 3), then G is p-nilpotent. We show that there are examples that are not p-nilpotent where this bound is met for every prime p. We then prove a number of variations of this result.

引用

页码：749 / 764

页数：16