The essential rank of classical groups.

DOI10.1016/j.jalgebra.2011.12.022zbMath1268.20014OpenAlexW2044934249MaRDI QIDQ448403

Heiko Dietrich, Jianbei An

Publication date: 6 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.12.022

zbMATH Keywords

finite classical groupsFrobenius categoriesessential ranksconjugation families

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (3)

Radical subgroups of the finite exceptional groups of Lie type \(E_6\). ⋮ The essential 2-rank of general linear and unitary groups ⋮ The AWC-goodness and essential rank of sporadic simple groups.

Cites Work

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• Simple connectivity of \(p\)-group complexes
• Weights for symmetric and general linear groups
• Estimating proportions of elements in finite groups of Lie type.
• Frobenius categories.
• Sylow intersections and fusion
• A conjugation family for finite groups
• THE ESSENTIAL RANK OF FUSION SYSTEMS OF BLOCKS OF SYMMETRIC GROUPS
• Recognizing SL2(q) in fusion systems
• Weights for Classical Groups
• Local Structure, Vertices and Alperin's Conjecture

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