Conjugacy classes and characters for extensions of finite groups

Xiang Tang; Hsian Hua Tseng

doi:10.1007/s11401-014-0854-8

Conjugacy classes and characters for extensions of finite groups

Xiang Tang
, Hsian Hua Tseng

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let H be an extension of a finite group Q by a finite group G. Inspired by the results of duality theorems for étale 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.

Original language	English
Pages (from-to)	743-750
Number of pages	8
Journal	Chinese Annals of Mathematics. Series B
Volume	35
Issue number	5
DOIs	https://doi.org/10.1007/s11401-014-0854-8
State	Published - Sep 2014

Keywords

Conjugacy classes
Group extensions
Orthogonality of characters

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10.1007/s11401-014-0854-8

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title = "Conjugacy classes and characters for extensions of finite groups",

abstract = "Let H be an extension of a finite group Q by a finite group G. Inspired by the results of duality theorems for {\'e}tale 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 = "Conjugacy classes, Group extensions, Orthogonality of characters",

author = "Xiang Tang and Tseng, \{Hsian Hua\}",

year = "2014",

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doi = "10.1007/s11401-014-0854-8",

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journal = "Chinese Annals of Mathematics. Series B",

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T1 - Conjugacy classes and characters for extensions of finite groups

AU - Tang, Xiang

AU - Tseng, Hsian Hua

PY - 2014/9

Y1 - 2014/9

N2 - Let H be an extension of a finite group Q by a finite group G. Inspired by the results of duality theorems for étale 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.

AB - Let H be an extension of a finite group Q by a finite group G. Inspired by the results of duality theorems for étale 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.

KW - Conjugacy classes

KW - Group extensions

KW - Orthogonality of characters

UR - https://www.scopus.com/pages/publications/84905965547

U2 - 10.1007/s11401-014-0854-8

DO - 10.1007/s11401-014-0854-8

M3 - Article

AN - SCOPUS:84905965547

SN - 0252-9599

VL - 35

SP - 743

EP - 750

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 5

ER -

Conjugacy classes and characters for extensions of finite groups

Abstract

Keywords

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