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arXiv · 2306.01410

On the orders of composition factors in completely reducible groups

Attila Maróti·Saveliy V. Skresanov
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Abstract

We obtain an asymptotic upper bound for the product of the $p$-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 $p$. An application is given for the diameter of a nondiagonal orbital graph of an affine primitive permutation group.

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Attila Maróti, Saveliy V. Skresanov. 2023-06-02. On the orders of composition factors in completely reducible groups. https://arxiv.org/abs/2306.01410

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