On infinite, cubic, vertex-transitive graphs with applications to totally disconnected, locally compact groups

DOI10.37236/10709zbMath1506.05218OpenAlexW4311098674MaRDI QIDQ2112570

Waltraud Lederle, Arnbjörg Soffía Árnadóttir, Rögnvaldur G. Möller

Publication date: 11 January 2023

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.37236/10709

zbMATH Keywords

cubic graphsWillis' scale function

Mathematics Subject Classification ID

General properties and structure of locally compact groups (22D05) Groups acting on trees (20E08) Infinite automorphism groups (20B27) Infinite graphs (05C63) Group actions on combinatorial structures (05E18)

Related Items

CAYLEY–ABELS GRAPHS AND INVARIANTS OF TOTALLY DISCONNECTED, LOCALLY COMPACT GROUPS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the vertex-stabiliser in arc-transitive digraphs
• On vertex transitive graphs of infinite degree
• Fragments and automorphisms of infinite graphs
• Vertex stabilizers of graphs and tracks. I.
• A characterization of a class of symmetric graphs of twice prime valency
• A note on fragments of infinite graphs
• Topological groups and infinite graphs
• Regular groups of automorphisms of cubic graphs
• The structure of totally disconnected, locally compact groups
• Descendants in highly arc transitive digraphs
• Infinite arc-transitive and highly-arc-transitive digraphs
• Specker--Kompaktifizierungen von lokal kompakten topologischen Gruppen
• Uniscalar p-adic Lie groups
• Scale functions and tree ends
• Structure Theory of Totally Disconnected Locally Compact Groups via Graphs and Permutations
• On the Symmetry of Cubic Graphs
• CHABAUTY LIMITS OF SIMPLE GROUPS ACTING ON TREES
• ON THE ORDER OF ARC-STABILIZERS IN ARC-TRANSITIVE GRAPHS
• A Class of Finite Group-Amalgams
• Strange permutation representations of free groups
• Lamplighters, Diestel–Leader Graphs, Random Walks, and Harmonic Functions
• Random Walks on Infinite Graphs and Groups
• LOCALLY COMPACT WREATH PRODUCTS
• LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART I: GENERAL THEORY
• Further properties of the scale function on a totally disconnected group
• A conjecture concerning a limit of non-Cayley graphs