A stronger reformulation of Webb's conjecture in terms of finite topological spaces
We investigate a stronger formulation of Webb's conjecture on the contractibility of the orbit space of the p-subgroup complexes in terms of finite topological spaces. The original conjecture, which was first proved by Symonds and, more recently, by Bux, Libman and Linckelmann, can be restated...
Guardado en:
Publicado: |
2019
|
---|---|
Materias: | |
Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v527_n_p280_Piterman http://hdl.handle.net/20.500.12110/paper_00218693_v527_n_p280_Piterman |
Aporte de: |
id |
paper:paper_00218693_v527_n_p280_Piterman |
---|---|
record_format |
dspace |
spelling |
paper:paper_00218693_v527_n_p280_Piterman2023-06-08T14:42:31Z A stronger reformulation of Webb's conjecture in terms of finite topological spaces Finite topological spaces Fusion Orbit spaces p-Subgroups Posets We investigate a stronger formulation of Webb's conjecture on the contractibility of the orbit space of the p-subgroup complexes in terms of finite topological spaces. The original conjecture, which was first proved by Symonds and, more recently, by Bux, Libman and Linckelmann, can be restated in terms of the topology of certain finite spaces. We propose a stronger conjecture, and prove various particular cases by combining fusion theory of finite groups and homotopy theory of finite spaces. © 2019 Elsevier Inc. 2019 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v527_n_p280_Piterman http://hdl.handle.net/20.500.12110/paper_00218693_v527_n_p280_Piterman |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Finite topological spaces Fusion Orbit spaces p-Subgroups Posets |
spellingShingle |
Finite topological spaces Fusion Orbit spaces p-Subgroups Posets A stronger reformulation of Webb's conjecture in terms of finite topological spaces |
topic_facet |
Finite topological spaces Fusion Orbit spaces p-Subgroups Posets |
description |
We investigate a stronger formulation of Webb's conjecture on the contractibility of the orbit space of the p-subgroup complexes in terms of finite topological spaces. The original conjecture, which was first proved by Symonds and, more recently, by Bux, Libman and Linckelmann, can be restated in terms of the topology of certain finite spaces. We propose a stronger conjecture, and prove various particular cases by combining fusion theory of finite groups and homotopy theory of finite spaces. © 2019 Elsevier Inc. |
title |
A stronger reformulation of Webb's conjecture in terms of finite topological spaces |
title_short |
A stronger reformulation of Webb's conjecture in terms of finite topological spaces |
title_full |
A stronger reformulation of Webb's conjecture in terms of finite topological spaces |
title_fullStr |
A stronger reformulation of Webb's conjecture in terms of finite topological spaces |
title_full_unstemmed |
A stronger reformulation of Webb's conjecture in terms of finite topological spaces |
title_sort |
stronger reformulation of webb's conjecture in terms of finite topological spaces |
publishDate |
2019 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v527_n_p280_Piterman http://hdl.handle.net/20.500.12110/paper_00218693_v527_n_p280_Piterman |
_version_ |
1768542489974669312 |