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Abstract:

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.

Registro:

Documento: Artículo
Título:The homotopy types of the posets of p-subgroups of a finite group
Autor:Minian, E.G.; Piterman, K.I.
Filiación:Departamento de Matemática, IMAS-CONICET, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:Finite topological spaces; p-Subgroups; Posets
Año:2018
Volumen:328
Página de inicio:1217
Página de fin:1233
DOI: http://dx.doi.org/10.1016/j.aim.2017.12.022
Título revista:Advances in Mathematics
Título revista abreviado:Adv. Math.
ISSN:00018708
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v328_n_p1217_Minian

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Citas:

---------- APA ----------
Minian, E.G. & Piterman, K.I. (2018) . The homotopy types of the posets of p-subgroups of a finite group. Advances in Mathematics, 328, 1217-1233.
http://dx.doi.org/10.1016/j.aim.2017.12.022
---------- CHICAGO ----------
Minian, E.G., Piterman, K.I. "The homotopy types of the posets of p-subgroups of a finite group" . Advances in Mathematics 328 (2018) : 1217-1233.
http://dx.doi.org/10.1016/j.aim.2017.12.022
---------- MLA ----------
Minian, E.G., Piterman, K.I. "The homotopy types of the posets of p-subgroups of a finite group" . Advances in Mathematics, vol. 328, 2018, pp. 1217-1233.
http://dx.doi.org/10.1016/j.aim.2017.12.022
---------- VANCOUVER ----------
Minian, E.G., Piterman, K.I. The homotopy types of the posets of p-subgroups of a finite group. Adv. Math. 2018;328:1217-1233.
http://dx.doi.org/10.1016/j.aim.2017.12.022