REGULAR ORBITS OF COPRIME LINEAR GROUPS IN LARGE CHARACTERISTIC

DOI10.1017/S0004972717000326zbMath1483.20023arXiv1702.05242WikidataQ58940236 ScholiaQ58940236MaRDI QIDQ4589162

Benjamin Sambale

Publication date: 7 November 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05242

zbMATH Keywords

minimal subgroupsregular orbitscoprime linear groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

Uses Software

• GAP

Cites Work

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• Blocks of finite groups and their invariants.
• On blocks with abelian defect groups of small rank
• Regular orbits of nilpotent subgroups of solvable linear groups.
• Groups of prime power order. Vol. 1.
• Finite groups with regular orbits on vector spaces
• The existence of regular orbits
• The existence of regular orbits for nilpotent groups
• On Brauer's \(k(B)\) problem
• Cartan matrices and Brauer's \(k(B)\)-conjecture. IV
• On the Brauer-Feit bound for abelian defect groups.
• Every coprime linear group admits a base of size two
• ON THE NUMBER OF PRIME ORDER SUBGROUPS OF FINITE GROUPS

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