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/).

引用

页码：183 / 196

页数：14

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