Automorphism groups of trees: Generalities and prescribed local actions

Alejandra Garrido; Yair Glasner; Stephan Tornier

doi:10.1017/9781108332675.007

Automorphism groups of trees: Generalities and prescribed local actions

Alejandra Garrido, Yair Glasner, Stephan Tornier

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

10 Scopus citations

Abstract

We recall the basic theory of automorphisms of trees and Tits' simplicity theorem, and present two constructions of tree groups via local actions: the universal group associated to a finite permutation group by Burger and Mozes, and the k-closures of a given group by Banks, Elder and Willis.

Original language	English
Title of host publication	New Directions in Locally Compact Groups
Publisher	Cambridge University Press
Pages	92-116
Number of pages	25
ISBN (Electronic)	9781108332675
ISBN (Print)	9781108413121
DOIs	https://doi.org/10.1017/9781108332675.007
State	Published - 8 Feb 2018

ASJC Scopus subject areas

General Mathematics

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Automorphism groups of trees: Generalities and prescribed local actions

Abstract

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