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 and the other in characteristic zero, which restrict the order of the center of some finite linear groups of degree less than a prime which divides the group order.

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Additional Information

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 -elements

Article copyright:
© Copyright 1975
American Mathematical Society