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| Conjugacy Classes and Characters for Extensions ofFinite Groups? |
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Citation： |
Xiang TANG,Hsian-Hua TSENG.Conjugacy Classes and Characters for Extensions ofFinite Groups?[J].Chinese Annals of Mathematics B,2014,35(5):743~750 |
| Page view： 1149
Net amount： 1020 |
Authors： |
Xiang TANG; Hsian-Hua TSENG; |
Foundation： |
the National Science Foundation (No. 0900985), the National Security
Agency (No. H98230-13-1-0209), the National Science Foundation (No. DMS-0757722) and the Simons
Foundation collaboration grant. |
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| Abstract： |
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. |
Keywords： |
Group extensions, Conjugacy classes, Orthogonality of characters |
Classification： |
20E22, 20C05 |
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