Cubic graphical regular representations of finite non-abelian simple groups

DOI10.1080/00927872.2017.1383997zbMath1397.20005OpenAlexW2760050102MaRDI QIDQ4570915

Pablo Spiga

Publication date: 10 July 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1383997

zbMATH Keywords

Cayley graphcubic graphsimple groupgraphical regular representationgeneration simple group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

Cubic graphical regular representations of \(\mathrm{PSU}_3(q)\) ⋮ Oriented regular representations of out-valency two for finite simple groups ⋮ Every finite non-solvable group admits an oriented regular representation ⋮ Finite groups admitting an oriented regular representation ⋮ On the existence and the enumeration of bipartite regular representations of Cayley graphs over abelian groups ⋮ CAYLEY GRAPHS AND GRAPHICAL REGULAR REPRESENTATIONS ⋮ Cubic graphical regular representations of Ree groups ⋮ Tetravalent half-arc-transitive graphs with unbounded nonabelian vertex stabilizers ⋮ On the existence of graphical Frobenius representations and their asymptotic enumeration ⋮ On the existence of Frobenius digraphical representations ⋮ Cubic graphical regular representations of \(\mathrm{PSL}_3(q)\) ⋮ On cubic graphical regular representations of finite simple groups ⋮ Tetravalent 2-arc-transitive Cayley graphs on non-abelian simple groups ⋮ Cubic graphical regular representations of some classical simple groups ⋮ On Haar digraphical representations of groups ⋮ On oriented \(m\)-semiregular representations of finite groups about valency two

Uses Software

• Magma

Cites Work

• Cubic graphical regular representations of \(\operatorname{PSL}_2(q)\)
• Coprime subdegrees for primitive permutation groups and completely reducible linear groups.
• On cubic \(s\)-arc transitive Cayley graphs of finite simple groups
• Cubic \(s\)-arc transitive Cayley graphs
• Subgroups of prime power index in a simple group
• Finite digraphs with given regular automorphism groups
• On the full automorphism group of a graph
• On cubic Cayley graphs of finite simple groups
• The Magma algebra system. I: The user language
• Cubic vertex-transitive graphs on up to 1280 vertices
• Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs
• Vertex-transitive graphs
• On the Symmetry of Cubic Graphs
• A Class of Finite Group-Amalgams
• Graphical Regular Representations of Non-Abelian Groups, II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Cubic graphical regular representations of finite non-abelian simple groups