Irredundant bases for finite groups of Lie type

DOI10.2140/pjm.2023.322.281zbMath1522.20005arXiv2212.07853OpenAlexW4377989575MaRDI QIDQ6043861

Martin W. Liebeck, Nick Gill

Publication date: 25 May 2023

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.07853

zbMATH Keywords

group of Lie typeirredundant base

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Simple groups: alternating groups and groups of Lie type (20D06) General theory for finite permutation groups (20B05)

Related Items (1)

The maximal size of a minimal generating set

Cites Work

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• Base sizes for sporadic simple groups.
• On minimal degrees and base sizes of primitive permutation groups
• Definability and fast quantifier elimination in algebraically closed fields
• Extending morphisms from finite to algebraic groups
• Arities of permutation groups: Wreath products and \(k\)-sets
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• On base sizes for symmetric groups
• The maximal factorizations of the finite simple groups and their automorphism groups
• Modular analogues of Jordan's theorem for finite linear groups
• Base sizes for simple groups and a conjecture of Cameron
• Chains of Subgroups in Groups of Lie Type III
• On the subgroup structure of exceptional groups of Lie type
• Simple groups, permutation groups, and probability
• Random Permutations: Some Group-Theoretic Aspects
• The maximal subgroups of positive dimension in exceptional algebraic groups
• Subgroups of exceptional algebraic groups which are irreducible on an adjoint or minimal module
• ON THE HEIGHT AND RELATIONAL COMPLEXITY OF A FINITE PERMUTATION GROUP
• On base sizes for actions of finite classical groups
• On the subgroup structure of classical groups

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