Fixed point ratios for finite primitive groups and applications

DOI10.1016/j.aim.2022.108778OpenAlexW4309581950MaRDI QIDQ2105748

Timothy C. Burness, Robert M. Guralnick

Publication date: 8 December 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.03967

zbMATH Keywords

minimal indexsimple groupsminimal degreeprimitive groupsfixed point ratios

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05) Primitive groups (20B15)

Related Items (2)

Minimal degree, base size, order: selected topics on primitive permutation groups ⋮ On the commuting probability of \(p\)-elements in a finite group

Uses Software

• GAP
• Magma
• GAP Character Table Library

Cites Work

• Unnamed Item
• Unnamed Item
• The base size of a primitive diagonal group.
• Base sizes for sporadic simple groups.
• On the maximal subgroups of the finite classical groups
• Fixed point ratios in actions of finite classical groups. I.
• Fixed point ratios in actions of finite classical groups. II.
• Probabilistic generation of finite simple groups. II.
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• Nonsolvable groups with an automorphism inverting many elements
• On the order of uniprimitive permutation groups
• On the minimal degree of a primitive permutation group
• The Magma algebra system. I: The user language
• Grassmannian fixed point ratios
• Probabilistic generation of finite simple groups
• On the orders of primitive groups
• Fixed point ratios in actions of finite exceptional groups of Lie type.
• Bases of twisted wreath products
• Finite groups, 2-generation and the uniform domination number
• Base sizes for primitive groups with soluble stabilisers
• Simple groups, fixed point ratios and applications
• Fixed point ratios in actions of finite classical groups. III.
• Fixed point ratios in actions of finite classical groups. IV.
• Some groups generated by transvections
• The spread of a finite group
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Classical Groups, Derangements and Primes
• The Maximal Subgroups of E ₆ (2) and Aut(E ₆ (2))
• On point stabilizers in primitive permutation groups
• Minimal Degrees of Primitive Permutation Groups, with an Application to Monodromy Groups of Covers of Riemann Surfaces
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• Involutions in Chevalley groups over fields of even order
• Simple groups, permutation groups, and probability
• On the Distribution of Galois Groups, II
• Maximal subgroups of sporadic groups
• Composition factors of monodromy groups
• On the distribution of Galois groups

This page was built for publication: Fixed point ratios for finite primitive groups and applications