Orbit sizes and odd order composition factors of finite linear groups

DOI10.1016/j.bulsci.2021.103017OpenAlexW3176298669MaRDI QIDQ2046105

Yong Yang, Jin-Bao Li

Publication date: 17 August 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2021.103017

zbMATH Keywords

finite groupslarge orbitsodd-order subgroups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20) Finite simple groups and their classification (20D05)

Related Items (2)

Monomial characters and the index of the Fitting subgroup of a solvable group ⋮ On Gluck's conjecture

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regular orbits of symmetric and alternating groups
• Large \(p'\)-orbits for \(p\)-nilpotent linear groups
• Large orbits of odd-order subgroups of solvable linear groups.
• Normalizers of primitive permutation groups
• Regular orbits of finite primitive solvable groups. II.
• Large character degrees of groups of odd order
• Regular orbits of linear groups with an application to the \(k(GV)\)-problem. I
• Regular orbits of linear groups with an application to the \(k(GV)\)-problem. II
• Regular orbits of sporadic simple groups
• Orbit sizes, character degrees and Sylow subgroups.
• Arithmetical conditions of orbit sizes of linear groups of odd order
• On the odd order composition factors of finite linear groups
• Large character degrees of solvable groups with Abelian Sylow 2-subgroups.
• Regular orbits of solvable linear \(p'\)-groups.
• Every coprime linear group admits a base of size two
• PRIMITIVE PRIME DIVISORS AND THE TH CYCLOTOMIC POLYNOMIAL
• Large character degrees of solvable 3’-groups
• On Regular Orbits of Elements of Classical Groups in Their Permutation Representations
• The largest Irreducible Character Degree of a Finite Group
• On Large Zsigmondy Primes
• On Abelian Quotients of Primitive Groups
• On large orbits of subgroups of linear groups
• Large orbits in coprime actions of solvable groups

This page was built for publication: Orbit sizes and odd order composition factors of finite linear groups