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This article is available for purchase or by subscription. See below.
Abstract
We study the product of the orders of the even abelian composition factors of a finite linear group.
We show that if
G
is a finite group acting faithfully and completely reducibly on a vector space
V ,
then the product of the orders of the even abelian composition factors of
G is bounded above
by a function of
| V
| .
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Keywords
linear groups, composition factors
Mathematical Subject Classification
Primary: 20C15, 20C20
Milestones
Received: 10 October 2021
Revised: 12 May 2022
Accepted: 18 May 2022
Published: 26 May 2023
Communicated by Kenneth S. Berenhaut
© 2023 MSP (Mathematical Sciences
Publishers).