Cayley graphs with few automorphisms: the case of infinite groups

DOI10.5802/ahl.118OpenAlexW3092721274MaRDI QIDQ2119571

Mikael de la Salle, Paul-Henry Leemann

Publication date: 29 March 2022

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.06020

zbMATH Keywords

DRRCayley graphgeneralized dihedral groupautomorphisms of graphsregular automorphism groupGRRgeneralized dicyclic groupORR

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (1)

Most rigid representation and Cayley index of finitely generated groups

Cites Work

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• Finite digraphs with given regular automorphism groups
• Graphical regular representations of alternating, symmetric and miscellaneous small groups
• Graphical regular representations of free products of groups
• On automorphisms of Cayley graphs
• Infinite digraphs with given regular automorphism groups
• On graphs with regular groups
• Cayley graphs with few automorphisms
• On covers of graphs by Cayley graphs
• Graphen mit transitiver Automorphismengruppe
• On the action of non-Abelian groups on graphs
• Commuting probabilities of infinite groups
• Two Combinatorial Problems in Group Theory
• Finite Groups Containing Many Involutions
• Classification of finite groups that admit an oriented regular representation
• Groups satisfying identities with high probability
• Characterizing a vertex‐transitive graph by a large ball
• Graphical Regular Representations of Non-Abelian Groups, II
• Groups Covered By Permutable Subsets

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