- 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
- Full Text
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