Normalisers of maximal tori and a conjecture of Vdovin

DOI10.1016/j.jalgebra.2022.12.013OpenAlexW4312208500WikidataQ123107739 ScholiaQ123107739MaRDI QIDQ2682824

Adam R. Thomas, Timothy C. Burness

Publication date: 1 February 2023

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

Full work available at URL: https://arxiv.org/abs/2207.09495

zbMATH Keywords

basessimple groupsmaximal tori

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (1)

On the soluble graph of a finite group

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Distance-transitive representations of groups G with \(PSL_ 2(q)\trianglelefteq G\leq P\Gamma L_ 2(q)\)
• Fixed point ratios in actions of finite classical groups. II.
• The root subgroups for maximal tori in finite groups of Lie type
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• The Magma algebra system. I: The user language
• Fixed point spaces in actions of exceptional algebraic groups.
• On base sizes for algebraic groups
• On the soluble graph of a finite group
• Base sizes for primitive groups with soluble stabilisers
• Simple groups, fixed point ratios and applications
• Classical Groups, Derangements and Primes
• Base size, metric dimension and other invariants of groups and graphs
• The cyclic structure of maximal tori of the finite classical groups
• Base sizes for simple groups and a conjecture of Cameron
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• The Maximal Tori in The Finite Chevalley Groups of Type E₆E₇And E₈
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• Involutions in Chevalley groups over fields of even order
• Simple groups, permutation groups, and probability
• Jordan block sizes of unipotent elements in exceptional algebraic groups
• The Classification of Extremely Primitive Groups
• On base sizes for actions of finite classical groups
• On Splitting of the Normalizer of a Maximal Torus in E₆(q)
• On a class of doubly transitive groups

This page was built for publication: Normalisers of maximal tori and a conjecture of Vdovin