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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A fixed-point theorem for central elements in quasisimple groups


Author: Harvey I. Blau
Journal: Proc. Amer. Math. Soc. 122 (1994), 79-84
MSC: Primary 20D05; Secondary 20C25
DOI: https://doi.org/10.1090/S0002-9939-1994-1254833-X
MathSciNet review: 1254833
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Abstract: It is shown that with a few exceptions (which are listed), any central element in a quasisimple finite group fixes some conjugacy class of the group under multiplication.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1254833-X
Keywords: Quasisimple group, simple group, Schur multiplier, conjugacy class
Article copyright: © Copyright 1994 American Mathematical Society