ON THE BASE SIZE OF A TRANSITIVE GROUP WITH SOLVABLE POINT STABILIZER

DOI10.1142/S0219498811005403zbMath1251.20003arXiv1011.4341OpenAlexW3106220820MaRDI QIDQ5389524

Evgeny P. Vdovin

Publication date: 21 April 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4341

zbMATH Keywords

numbers of orbitsfinite simple groupssolvable subgroupstransitive permutation groupscomposition seriessolvable radicalbase sizessolvable Hall subgroupsbounds for bases

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Multiply transitive finite groups (20B20)

Related Items (5)

INTERSECTION OF CONJUGATE SOLVABLE SUBGROUPS IN FINITE CLASSICAL GROUPS ⋮ Intersection of conjugate solvable subgroups in symmetric groups ⋮ On soluble subgroups of sporadic groups ⋮ Base sizes for primitive groups with soluble stabilisers ⋮ On base sizes for almost simple primitive groups

Cites Work

• Unnamed Item
• Groups without faithful transitive permutation representations of small degree
• The Probability of Generating a Finite Soluble Group
• Carter subgroups of finite almost simple groups
• Base sizes for simple groups and a conjecture of Cameron
• The Minimal Base Size of Primitive Solvable Permutation Groups
• Large orbits in coprime actions of solvable groups
• Endliche Gruppen I

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