Kernels of van den Dries-Wilkie homomorphisms and \(o\)-automorphisms of graphs

DOI10.1006/JABR.1999.8210zbMath0982.20021OpenAlexW2075956522MaRDI QIDQ1977552

Vladimir I. Trofimov

Publication date: 26 November 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8210

zbMATH Keywords

finitely generated groupsautomorphism groups of graphsconnected locally finite graphslocally finite-by-nilpotent groupsvan den Dries-Wilkie homomorphisms

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items (1)

On the action of a group on a graph. II

Cites Work

• Gromov's theorem on groups of polynomial growth and elementary logic
• Certain asymptotic characteristics of groups
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• ASYMPTOTIC BEHAVIOR OF AUTOMORPHISMS OF GRAPHS
• THE ACTION OF A GROUP ON A GRAPH

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