- Title
- Homomorphic images of locally compact groups acting on trees and buildings
- Creator
- Carter, Max; Willis, Geroge A.
- Relation
- ARC.FL170100032 http://purl.org/au-research/grants/arc/FL170100032
- Relation
- Monatshefte fur Mathematik Vol. -, Issue 13 March 2022
- Publisher Link
- http://dx.doi.org/10.1007/s00605-022-01690-5
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2022
- Description
- We study analogues of Cartan decompositions of Lie groups for totally disconnected locally compact groups. It is shown using these decompositions that a large class of totally disconnected locally compact groups acting on trees and buildings have the property that every continuous homomorphic image of the group is closed.
- Subject
- totally disconnected locally compact group; groups acting on trees and buildings; right-angled building; Cartan decomposition; contraction group
- Identifier
- http://hdl.handle.net/1959.13/1469255
- Identifier
- uon:48179
- Identifier
- ISSN:0026-9255
- Rights
- This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
- Language
- eng
- Full Text
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