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arXiv:1310.6384 [math.GR]AbstractReferencesReviewsResources

Conjugacy classes and characters for extensions of finite groups

Xiang Tang, Hsian-hua Tseng

Published 2013-10-23Version 1

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, we describe the number of conjugacy classes of $H$ that maps to the same conjugacy class of $Q$. Furthermore, we prove a generalization of the orthogonality relation between characters of $G$.

Comments: 10 pages
Journal: Chinese Annals of Mathematics, Series B, Volume 35 (2014), Issue 5, pp 743-750
Categories: math.GR
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