Primitive characters of maximal subgroups of solvable groups

被引：5
|
作者：
Isaacs, I. M. [1 ]
Wilde, Tom [2 ]
机构：
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2] Credit Suisse Secur Europe Ltd, London E14 4QJ, England
来源：
JOURNAL OF ALGEBRA | 2010年 / 323卷 / 02期
关键词：
M-group; Maximal subgroup; Primitive character; Fully-ramified correspondence; PI-SEPARABLE GROUPS;
D O I：
10.1016/j.jalgebra.2009.05.033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be an M-group, and suppose that H is a maximal subgroup of odd index and that beta is an element of Irr H is primitive. It was shown by Mark Lewis that beta(1)(2) divides vertical bar G : H vertical bar. We show in this situation that either beta(1)(2) = vertical bar G : H vertical bar or beta(1) = 1. A number of related results are established for groups that are not necessarily M-groups. (C) 2009 Elsevier Inc. All rights reserved.
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页码：419 / 436
页数：18
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