Characters of groups having fixed-point-free automorphisms of 2-power order

被引：1

作者：

Isaacs, I. M. ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

JOURNAL OF ALGEBRA | 2011年 / 328卷 / 01期

关键词：

Fixed-point-free automorphism; Almost-invariant character;

D O I：

10.1016/j.jalgebra.2010.05.033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let C be a cyclic 2-group that acts fixed-point-freely on a group K and let T subset of C be the subgroup of index 2. The main result of this paper is that the square-free parts of the degrees of the T-invariant irreducible characters of K are never divisible by primes p equivalent to -1 mod vertical bar C vertical bar. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：218 / 229

页数：12