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.

引用

页码：743 / 750

页数：8

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