2021/01/11 by Arnbjörg Soffía Árnadóttir, Árnadóttir, Arnbjörg Soffía, Waltraud Lederle +3
Mathematics · #Advanced Operator Algebra Research #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)
paper · pdf · doi:10.48550/arxiv.2101.04064
openalex publication_date 2021/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study groups acting vertex-transitively on connected, trivalent graphs such that stabilizers of vertices are infinite. If the action is edge-transitive, we prove that the graph has to be a tree. We analyze the case where the action is not edge-transitive and fully classify the possible 2-ended graphs. We draw connections to Willis' scale function and re-prove a result by Trofimov.