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...

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Autor principal: Piterman, K.I.
Formato: JOUR
Materias:
Finite topological spaces
Fusion
Orbit spaces
p-Subgroups
Posets
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v527_n_p280_Piterman
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00218693_v527_n_p280_Piterman
record_format dspace
spelling todo:paper_00218693_v527_n_p280_Piterman2023-10-03T14:21:38Z A stronger reformulation of Webb's conjecture in terms of finite topological spaces Piterman, K.I. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Piterman, K.I.
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.
format JOUR
author Piterman, K.I.
author_facet Piterman, K.I.
author_sort Piterman, K.I.
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
url http://hdl.handle.net/20.500.12110/paper_00218693_v527_n_p280_Piterman
work_keys_str_mv AT pitermanki astrongerreformulationofwebbsconjectureintermsoffinitetopologicalspaces
AT pitermanki strongerreformulationofwebbsconjectureintermsoffinitetopologicalspaces
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