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Scale-multiplicative semigroups and geometry: automorphism groups of\n trees

2013/12/04 by Udo Baumgartner, Baumgartner, Udo, Jacqui Ramagge +3
Computer Science · Mathematics · #22D05 (Primary) 20E08 #22D45 #22F50 (Secondary) #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1312.1064

openalex publication_date 2013/12/04 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

A scale-multiplicative semigroup in a totally disconnected, locally compact\ngroup G is one for which the restriction of the scale function on G is\nmultiplicative. The maximal scale-multiplicative semigroups in groups acting\n2-transitively on the set of ends of trees without leaves are determined in\nthis paper and shown to correspond to geometric features of the tree.\n

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