Enumerating Groups Acting Regularly on a d-Dimensional Cube

DOI10.1080/00927870902766308zbMath1189.20002OpenAlexW2071869249MaRDI QIDQ3395218

Pablo Spiga

Publication date: 24 August 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870902766308

zbMATH Keywords

hypercubeCayley graphsfinite permutation groupsregular permutation groupsCayley digraphssubgroup enumerationnumbers of regular subgroups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Asymptotic results on counting functions for algebraic and topological structures (11N45) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Asymptotic enumeration (05A16) Subgroups of symmetric groups (20B35) General theory for finite permutation groups (20B05) Group actions on combinatorial structures (05E18)

Related Items (3)

Asymptotic enumeration of vertex-transitive graphs of fixed valency ⋮ Digraphs with small automorphism groups that are Cayley on two nonisomorphic groups ⋮ Constructing 2-arc-transitive covers of hypercubes

Uses Software

• GAP

Cites Work

• Enumerating finite groups of given order
• Chains of subgroups in symmetric groups
• On isomorphisms of finite Cayley graphs---a survey
• Isomorphic Cayley graphs on nonisomorphic groups

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