Decompositions of the automorphism groups of edge-colored graphs into the direct product of permutation groups

DOI10.26493/1855-3974.1926.6adzbMath1479.05362arXiv1903.07419OpenAlexW3178920288MaRDI QIDQ5020293

Grech, Mariusz

Publication date: 5 January 2022

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07419

zbMATH Keywords

automorphism grouppermutation groupdirect productcolored graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Directed graphs (digraphs), tournaments (05C20) Group actions on combinatorial structures (05E18)

Related Items (1)

Wreath product in automorphism groups of graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Graph multiplication
• Homogeneous factorisations of complete graphs with edge-transitive factors
• Finite digraphs with given regular automorphism groups
• Direct product and uniqueness of automorphism groups of graphs
• Direct product of automorphism groups of colored graphs
• Graphical complexity of products of permutation groups
• On the action of non-Abelian groups on graphs
• On products of graphs and regular groups
• Homogeneous factorisations of graphs and digraphs
• Transitive Permutation Groups Without Semiregular Subgroups
• The graphical complexity of direct products of permutation groups
• Direct products of automorphism groups of graphs
• Totally symmetric colored graphs
• On partitioning the orbitals of a transitive permutation group
• Direct product of automorphism groups of digraphs
• Graphical Regular Representations of Non-Abelian Groups, II
• All totally symmetric colored graphs
• On graphical regular representations of direct products of groups

This page was built for publication: Decompositions of the automorphism groups of edge-colored graphs into the direct product of permutation groups