Base sizes for primitive groups with soluble stabilisers

DOI10.2140/ant.2021.15.1755zbMath1486.20002arXiv2006.10510OpenAlexW3125988253WikidataQ114045559 ScholiaQ114045559MaRDI QIDQ2239243

Timothy C. Burness

Publication date: 3 November 2021

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.10510

zbMATH Keywords

primitive permutation groupbase sizerandom basesoluble point stabilizer

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Simple groups: alternating groups and groups of Lie type (20D06) Primitive groups (20B15)

Related Items (14)

On valency problems of Saxl graphs ⋮ Permutation groups with restricted stabilizers ⋮ Bases of twisted wreath products ⋮ INTERSECTION OF CONJUGATE SOLVABLE SUBGROUPS IN FINITE CLASSICAL GROUPS ⋮ Strongly base-two groups ⋮ On the Burness-Giudici conjecture ⋮ On soluble subgroups of sporadic groups ⋮ Normalisers of maximal tori and a conjecture of Vdovin ⋮ Finite groups, minimal bases and the intersection number ⋮ Base sizes of primitive groups of diagonal type ⋮ On base sizes for primitive groups of product type ⋮ On the Saxl graphs of primitive groups with soluble stabilisers ⋮ On the soluble graph of a finite group ⋮ Fixed point ratios for finite primitive groups and applications

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