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arXiv · 2003.09109

Prime Localizations of Burger--Mozes-type groups

Stephan Tornier
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Abstract

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.

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Stephan Tornier. 2020-03-20. Prime Localizations of Burger--Mozes-type groups. https://doi.org/10.1515/jgth-2017-0036.

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