Scale Groups

2020/08/12 by George A. Willis, Willis, George A.
Mathematics · #22D05 #Advanced Topology and Set Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2008.05220

openalex publication_date 2020/08/12 · openalex created_date 2022/12/25 · openalex updated_date 2026/07/28

Abstract

Closed subgroups of the group of isometries of the regular tree \treeq that fix an end of the tree and are vertex-transitive are shown to correspond, on one hand, to self-replicating groups acting on rooted trees and, on the other hand, to elements of totally disconnected, locally compact groups having positive scale.

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