The homotopy types of the posets of p-subgroups of a finite group

We study the homotopy properties of the posets of p-subgroups Sp(G) and Ap(G) of a finite group G, viewed as finite topological spaces. We answer a question raised by R.E. Stong in 1984 about the relationship between the contractibility of the finite space Ap(G) and that of Sp(G) negatively, and des...

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Autores principales: Minian, E.G., Piterman, K.I.
Formato: JOUR
Materias:
Finite topological spaces
p-Subgroups
Posets
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00018708_v328_n_p1217_Minian
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00018708_v328_n_p1217_Minian
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spelling todo:paper_00018708_v328_n_p1217_Minian2023-10-03T13:52:23Z The homotopy types of the posets of p-subgroups of a finite group Minian, E.G. Piterman, K.I. Finite topological spaces p-Subgroups Posets We study the homotopy properties of the posets of p-subgroups Sp(G) and Ap(G) of a finite group G, viewed as finite topological spaces. We answer a question raised by R.E. Stong in 1984 about the relationship between the contractibility of the finite space Ap(G) and that of Sp(G) negatively, and describe the contractibility of Ap(G) in terms of algebraic properties of the group G. © 2018 Elsevier Inc. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00018708_v328_n_p1217_Minian
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
p-Subgroups
Posets
spellingShingle Finite topological spaces
p-Subgroups
Posets
Minian, E.G.
Piterman, K.I.
The homotopy types of the posets of p-subgroups of a finite group
topic_facet Finite topological spaces
p-Subgroups
Posets
description We study the homotopy properties of the posets of p-subgroups Sp(G) and Ap(G) of a finite group G, viewed as finite topological spaces. We answer a question raised by R.E. Stong in 1984 about the relationship between the contractibility of the finite space Ap(G) and that of Sp(G) negatively, and describe the contractibility of Ap(G) in terms of algebraic properties of the group G. © 2018 Elsevier Inc.
format JOUR
author Minian, E.G.
Piterman, K.I.
author_facet Minian, E.G.
Piterman, K.I.
author_sort Minian, E.G.
title The homotopy types of the posets of p-subgroups of a finite group
title_short The homotopy types of the posets of p-subgroups of a finite group
title_full The homotopy types of the posets of p-subgroups of a finite group
title_fullStr The homotopy types of the posets of p-subgroups of a finite group
title_full_unstemmed The homotopy types of the posets of p-subgroups of a finite group
title_sort homotopy types of the posets of p-subgroups of a finite group
url http://hdl.handle.net/20.500.12110/paper_00018708_v328_n_p1217_Minian
work_keys_str_mv AT minianeg thehomotopytypesoftheposetsofpsubgroupsofafinitegroup
AT pitermanki thehomotopytypesoftheposetsofpsubgroupsofafinitegroup
AT minianeg homotopytypesoftheposetsofpsubgroupsofafinitegroup
AT pitermanki homotopytypesoftheposetsofpsubgroupsofafinitegroup
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