Conjugacy Classes and Characters for Extensions of Finite Groups

被引：0
|
作者：
Tang, Xiang [1 ]
Tseng, Hsian-Hua [2 ]
机构：
[1] Washington Univ, Dept Math, St Louis, MO 63130 USA
[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2014年 / 35卷 / 05期
基金：
美国国家科学基金会;
关键词：
Group extensions; Conjugacy classes; Orthogonality of characters; DIFFERENTIABLE STACKS; GERBES; DUALITY;
D O I：
10.1007/s11401-014-0854-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let H be an extension of a finite group Q by a finite group G. Inspired by the results of duality theorems for etale gerbes on orbifolds, the authors describe the number of conjugacy classes of H that map to the same conjugacy class of Q. Furthermore, a generalization of the orthogonality relation between characters of G is proved.
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页码：743 / 750
页数：8
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