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Proceedings of the American Mathematical Society

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

 

 

On the center of some finite linear groups


Author: Harvey I. Blau
Journal: Proc. Amer. Math. Soc. 53 (1975), 41-44
MSC: Primary 20C05
MathSciNet review: 0379643
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Abstract: This note proves two results, one in characteristic $ p$ and the other in characteristic zero, which restrict the order of the center of some finite linear groups of degree less than a prime $ p$ which divides the group order.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0379643-5
Keywords: Indecomposable modular representation, faithful irreducible complex representation, small degree, prime order Sylow subgroup, conjugate class of $ p$-elements
Article copyright: © Copyright 1975 American Mathematical Society