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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Guardado en:
Detalles Bibliográficos
Publicado: 2018
Materias:
Finite topological spaces
p-Subgroups
Posets
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v328_n_p1217_Minian
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 paper:paper_00018708_v328_n_p1217_Minian
record_format dspace
spelling paper:paper_00018708_v328_n_p1217_Minian2023-06-08T14:21:50Z The homotopy types of the posets of p-subgroups of a finite group 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. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v328_n_p1217_Minian 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
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.
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
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v328_n_p1217_Minian
http://hdl.handle.net/20.500.12110/paper_00018708_v328_n_p1217_Minian
_version_ 1768546184484356096

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