On the orders of composition factors in completely reducible groups
Group Theory
2023-06-05 v1 Representation Theory
Abstract
We obtain an asymptotic upper bound for the product of the -parts of the orders of certain composition factors of a finite group acting completely reducibly and faithfully on a finite vector space of order divisible by a prime . An application is given for the diameter of a nondiagonal orbital graph of an affine primitive permutation group.
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Cite
@article{arxiv.2306.01410,
title = {On the orders of composition factors in completely reducible groups},
author = {Attila Maróti and Saveliy V. Skresanov},
journal= {arXiv preprint arXiv:2306.01410},
year = {2023}
}
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12 pages