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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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00018708_v328_n_p1217_Minian |
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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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1807321585333305344 |