On the orders of composition factors in completely reducible groups

DOI10.1016/j.jalgebra.2024.02.001arXiv2306.01410OpenAlexW4391649505WikidataQ128433972 ScholiaQ128433972MaRDI QIDQ6123229

Attila Maróti, Saveliĭ Vyacheslavovich Skresanov

Publication date: 4 March 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.01410

zbMATH Keywords

completely reducibleorbital graphcomposition factorsimple group of Lie type

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Representations of finite groups of Lie type (20C33)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orbital diameters of the symmetric and alternating groups
• Normalizers of primitive permutation groups
• Good contributors to the order of the finite simple groups
• On the number of conjugacy classes of a finite group
• Comparing the order and the minimal number of generators of a finite irreducible linear group
• Bounding the number of classes of a finite group in terms of a prime
• The number of composition factors of order \(p\) in completely reducible groups of characteristic \(p\)
• Intersection matrices for finite permutation groups
• On the orbital diameter of groups of diagonal type
• Bounding the composition length of primitive permutation groups and completely reducible linear groups
• The orders of the classical simple groups
• Primitive permutation groups of bounded orbital diameter
• Bounds for the diameters of orbital graphs of affine groups

This page was built for publication: On the orders of composition factors in completely reducible groups