Subgroup collections controlling the homotopy type of a p-local compact group
Let (S, F, L) be a p -local compact group. We prove that the (uncompleted) homotopy type of the nerve of the linking system L is determined by the collection of subgroups of S that are F-centric and F-radical. This generalizes work of Broto, Grodal, Levi, Oliver, and the second author, who prove an...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:325054 |
| Acceso en línea: | https://ddd.uab.cat/record/325054 https://dx.doi.org/urn:doi:10.1016/j.jpaa.2023.107387 |
| Access Level: | acceso abierto |
| Palabra clave: | Homotopy theory Fusion system Classifying space Lie group p -local compact group |
| Sumario: | Let (S, F, L) be a p -local compact group. We prove that the (uncompleted) homotopy type of the nerve of the linking system L is determined by the collection of subgroups of S that are F-centric and F-radical. This generalizes work of Broto, Grodal, Levi, Oliver, and the second author, who prove an analogous result for p -local finite groups. |
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