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Scale-multiplicative semigroups and geometry: automorphism groups of trees (1312.1064v1)
Published 4 Dec 2013 in math.GR
Abstract: A scale-multiplicative semigroup in a totally disconnected, locally compact group $G$ is one for which the restriction of the scale function on $G$ is multiplicative. The maximal scale-multiplicative semigroups in groups acting 2-transitively on the set of ends of trees without leaves are determined in this paper and shown to correspond to geometric features of the tree.
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