Homomorphic Images of Locally Compact Groups Acting on Trees and Buildings
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866912295651639296 |
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| author | Carter, Max Willis, George A. |
| author_facet | Carter, Max Willis, George A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_11744 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Homomorphic Images of Locally Compact Groups Acting on Trees and Buildings Carter, Max Willis, George A. Group Theory Primary: 20E08, 22D05, Secondary: 05C63, 22F50 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. |
| title | Homomorphic Images of Locally Compact Groups Acting on Trees and Buildings |
| topic | Group Theory Primary: 20E08, 22D05, Secondary: 05C63, 22F50 |
| url | https://arxiv.org/abs/2112.11744 |