2-Groups with few rational conjugacy classes

被引：1
|
作者：
Sangroniz, Josu [1 ]
Tent, Joan [2 ]
机构：
[1] Univ Basque Country, Dept Matemat, Fac Ciencia & Tecnol, E-48080 Bilbao, Spain
[2] Univ Valencia, Dept Algebra, E-46100 Valencia, Spain
来源：
JOURNAL OF ALGEBRA | 2011年 / 338卷 / 01期
关键词：
2-Groups; Conjugacy classes;
D O I：
10.1016/j.jalgebra.2011.01.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove the following conjecture of G. Navarro: if G is a finite 2-group with exactly 5 rational conjugacy classes, then G is dihedral, semidihedral or generalized quaternion. We also characterize the 2-groups with 4 rational classes. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：114 / 121
页数：8
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