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Prime Localizations of Burger-Mozes type groups

Type of publication Peer-reviewed
Publikationsform Original article (peer-reviewed)
Author Tornier Stephan,
Project Closure of projections of lattices in products of trees
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Original article (peer-reviewed)

Journal Journal of Group Theory
Title of proceedings Journal of Group Theory


This article concerns Burger--Mozes universal groups acting on regular trees locally like a given permutation group of finite degree. We also consider locally isomorphic generalizations of the former due to Le Boudec and Lederle. For a large class of such permutation groups and primes p we determine their local p-Sylow subgroups as well as subgroups of their p-localization, which is identified as a group of the same type in certain cases.