Analogues of Cayley graphs for topological groups

DOI10.1007/s00209-007-0190-8zbMath1134.22003OpenAlexW2084790024MaRDI QIDQ2471031

Rögnvaldur G. Möller, Bernhard Krön

Publication date: 18 February 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-007-0190-8

zbMATH Keywords

accessibilitypolynomial growthCayley graphgroup actionquasi-isometrytotally disconnected locally compact groupend of grouprough Cayley graph

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General properties and structure of locally compact groups (22D05) Groups acting on trees (20E08)

Related Items (17)

Subgroups, hyperbolicity and cohomological dimension for totally disconnected locally compact groups ⋮ CAYLEY–ABELS GRAPHS AND INVARIANTS OF TOTALLY DISCONNECTED, LOCALLY COMPACT GROUPS ⋮ Rough ends of infinite primitive permutation groups ⋮ Absorption Cayley graph ⋮ GROUPS ACTING ON TREES WITH PRESCRIBED LOCAL ACTION ⋮ Topological groups with a compact open subgroup, relative hyperbolicity and coherence ⋮ Homomorphic images of locally compact groups acting on trees and buildings ⋮ Geometric amenability in totally disconnected locally compact groups ⋮ The geometry of groups containing almost normal subgroups ⋮ Amenable actions preserving a locally finite metric ⋮ Local rigidity of uniform lattices ⋮ Hyperbolic groups have flat-rank at most 1 ⋮ Rational discrete cohomology for totally disconnected locally compact groups ⋮ On free products of graphs ⋮ Rational discrete first degree cohomology for totally disconnected locally compact groups ⋮ Finiteness properties of totally disconnected locally compact groups ⋮ Elementary totally disconnected locally compact groups

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