On the orders of composition factors in completely reducible groups

被引：0
|
作者：
Maroti, Attila [1 ]
V. Skresanov, Saveliy [1 ,2 ]
机构：
[1] HUN REN Alfred Renyi Inst Math, Realtanoda Utca 13-15, H-1053 Budapest, Hungary
[2] Sobolev Inst Math, 4 Acad Koptyug Ave, Novosibirsk 630090, Russia
来源：
JOURNAL OF ALGEBRA | 2024年 / 645卷
基金：
欧洲研究理事会;
关键词：
Simple group of Lie type; Composition factor; Completely reducible; Orbital graph; PRIMITIVE PERMUTATION-GROUPS; NUMBER;
D O I：
10.1016/j.jalgebra.2024.02.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. This enables us to give a new bound for the diameter of a nondiagonal orbital graph of an affine primitive permutation group. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org /licenses /by -nc -nd /4 .0/).
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页码：183 / 196
页数：14
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