On base sizes for algebraic groups

DOI10.4171/JEMS/718zbMath1445.20002OpenAlexW14581337MaRDI QIDQ2012447

Jan Saxl, Timothy C. Burness, Robert M. Guralnick

Publication date: 31 July 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/718

zbMATH Keywords

primitive permutation groupssimple algebraic groupsbase sizegeneric stabilizer

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Simple groups: alternating groups and groups of Lie type (20D06) Primitive groups (20B15) Exceptional groups (20G41)

Related Items (20)

Base sizes of primitive permutation groups ⋮ Essential dimension of algebraic groups, including bad characteristic ⋮ A theory of semiprimitive groups ⋮ Asymmetric coloring of locally finite graphs and profinite permutation groups: Tucker's conjecture confirmed ⋮ On the involution fixity of exceptional groups of Lie type ⋮ Topological generation of exceptional algebraic groups ⋮ Unipotent subgroups of stabilizers ⋮ Normalisers of maximal tori and a conjecture of Vdovin ⋮ Generically free representations. II: Irreducible representations ⋮ Minimal degree, base size, order: selected topics on primitive permutation groups ⋮ Finite groups, 2-generation and the uniform domination number ⋮ Topological generation of special linear groups ⋮ Base sizes of primitive groups: bounds with explicit constants ⋮ Elements in reductive algebraic groups with Abelian connected centralizers. ⋮ On base sizes for almost simple primitive groups ⋮ On the Saxl graph of a permutation group ⋮ On the minimal dimension of a finite simple group ⋮ Maximal irredundant families of minimal size in the alternating group ⋮ Generic stabilizers for simple algebraic groups ⋮ Orbit closures and invariants

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