REAL

On the Orders of Composition Factors in Completely Reducible Groups

Maróti, Attila and Skresanov, Saveliy V. (2024) On the Orders of Composition Factors in Completely Reducible Groups. JOURNAL OF ALGEBRA. pp. 1-13. ISSN 0021-8693 (print); 1090-266X (online)

[img]
Preview
Text
boundingp.pdf

Download (321kB) | Preview

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.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 30 Jan 2024 07:45
Last Modified: 30 Jan 2024 07:45
URI: http://real.mtak.hu/id/eprint/186609

Actions (login required)

Edit Item Edit Item