On \(n\)-partite digraphical representations of finite groups

DOI10.1016/j.jcta.2022.105606OpenAlexW4213279004MaRDI QIDQ2120822

Pablo Spiga, Jia-Li Du, Yan Quan Feng

Publication date: 1 April 2022

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2022.105606

zbMATH Keywords

DRRregular representationsemiregular group\(n\)-PDRD\(n\)SR

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Directed graphs (digraphs), tournaments (05C20) Representation theory of groups (20Cxx)

Uses Software

• Magma

Cites Work

• Cubic graphical regular representations of \(\operatorname{PSL}_2(q)\)
• Automorphisms of Cayley graphs on generalised dicyclic groups
• Graphical cyclic permutation groups
• On Haar digraphical representations of groups
• One-matching bi-Cayley graphs over Abelian groups
• Tournaments with given regular group
• Finite digraphs with given regular automorphism groups
• The Magma algebra system. I: The user language
• Cayley graphs on abelian groups
• On the existence of Frobenius digraphical representations
• A conjecture on bipartite graphical regular representations
• Cyclic permutation groups that are automorphism groups of graphs
• A classification of the graphical \(m\)-semiregular representation of finite groups
• Graphical representations of cyclic permutation groups
• Every finite non-solvable group admits an oriented regular representation
• Finite groups admitting an oriented regular representation
• On a Class of Fixed-Point-Free Graphs
• Classification of finite groups that admit an oriented regular representation
• On the existence and the enumeration of bipartite regular representations of Cayley graphs over abelian groups

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