Conjugacy Classes and Characters for Extensions of Finite Groups

Conjugacy Classes and Characters for Extensions of Finite Groups

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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.

作者 Xiang TANG Hsian-Hua TSENG

机构地区 Department of Mathematics Department of Mathematics

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2014年第5期743-750,共8页 数学年刊（B辑英文版）

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

关键词 Group extensions Conjugacy classes Orthogonality of characters2000 MR Subject Classification 20E22 20C05 共轭类有限群人物对偶定理正交关系映射

分类号 O152.1 [理学—基础数学] O221.2 [理学—运筹学与控制论]

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Chinese Annals of Mathematics,Series B

2014年第5期

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Conjugacy Classes and Characters for Extensions of Finite Groups

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