On the action of a group on a graph

DOI10.1007/BF00053384zbMath0764.05037MaRDI QIDQ1201913

Vladimir I. Trofimov

Publication date: 17 January 1993

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

locally finite graphfinitely generated groupvertex-symmetric graphaction of a groupbounded automorphisms

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Primitive groups (20B15)

Related Items (2)

On symmetries of Cayley graphs and the graphs underlying regular maps ⋮ On the action of a group on a graph. II

Cites Work

• A note on bounded automorphisms of infinite graphs
• Gromov's theorem on groups of polynomial growth and elementary logic
• Certain asymptotic characteristics of groups
• Operationen mit periodischen Stabilisatoren
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Influence of the structure of a graph on its automorphisms
• Action of primitive groups
• AUTOMORPHISMS OF GRAPHS AND A CHARACTERIZATION OF LATTICES
• On the Sims Conjecture and Distance Transitive Graphs
• ASYMPTOTIC BEHAVIOR OF AUTOMORPHISMS OF GRAPHS
• GRAPHS WITH POLYNOMIAL GROWTH
• THE ACTION OF A GROUP ON A GRAPH

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