Conjugacy Classes and Characters for Extensions of Finite Groups

作     者：Xiang TANG Hsian-Hua TSENG 

作者机构：Department of Mathematics Washington University St.Louis MO 63130 USA Department of Mathematics Ohio State University 100 Math Tower231 West 18th Ave. ColumbusOH 43210 USA 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2014年第35卷第5期

页      面：743-750页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

基　　金：supported by the National Science Foundation(No.0900985) the National Security Agency(No.H98230-13-1-0209) the National Science Foundation(No.DMS-0757722) the Simons Foundation collaboration grant 

主　　题：Group extensions Conjugacy classes Orthogonality of characters2000 MR Subject Classification 20E22 20C05 

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.