Decomposition theorems for automorphism groups of trees

Title: Decomposition theorems for automorphism groups of trees
Creator: Carter, Max; Willis, George A.
Relation: ARC.FL170100032 http://purl.org/au-research/grants/arc/FL170100032
Relation: Bulletin of the Australian Mathematical Society Vol. 103, Issue 1, p. 104-112
Publisher Link: http://dx.doi.org/10.1017/S0004972720000465
Publisher: Cambridge University Press
Resource Type: journal article
Date: 2021
Description: Motivated by the Bruhat and Cartan decompositions of general linear groups over local fields, we enumerate double cosets of the group of label-preserving automorphisms of a label-regular tree over the fixator of an end of the tree and over maximal compact open subgroups. This enumeration is used to show that every continuous homomorphism from the automorphism group of a label-regular tree has closed range.
Subject: groups acting on trees; automorphism group; regular tree; label-regular tree; lie group decomposition
Identifier: http://hdl.handle.net/1959.13/1425659
Identifier: uon:38289
Identifier: ISSN:0004-9727
Rights: This article has been published in a revised form in the Bulletin of the Australian http://dx.doi.org/10.1017/S0004972720000465. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © Bulletin of the Australian Mathematical 2021.
Language: eng
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