logo biblio digital exactas
logo twitter logo instagram logo whatsapp logo mail

Navegar

Colección

Datos Estadísticas

Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

For any finite group G, we construct a finite poset (or equivalently, a finite T0-space) X, whose group of automorphisms is isomorphic to G. If the order of the group is n and it has r generators, X has n (r + 2) points. This construction improves previous results by G. Birkhoff and M.C. Thornton. The relationship between automorphisms and homotopy types is also analyzed. © 2008 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Automorphism groups of finite posets
Autor:Barmak, J.A.; Minian, E.G.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:Automorphisms; Finite topological spaces; Posets; Automorphism groups; Automorphisms; Finite groups; Finite poset; Finite topological spaces; Group of automorphisms; Homotopy types; Posets
Año:2009
Volumen:309
Número:10
Página de inicio:3424
Página de fin:3426
DOI: http://dx.doi.org/10.1016/j.disc.2008.09.026
Título revista:Discrete Mathematics
Título revista abreviado:Discrete Math
ISSN:0012365X
CODEN:DSMHA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0012365X_v309_n10_p3424_Barmak

Referencias:

  • Birkhoff, G., On groups of automorphisms (1946) Rev. Un. Mat. Argentina, 11, pp. 155-157
  • Thornton, M.C., Spaces with given homeomorphism groups (1972) Proc. Amer. Math. Soc., 33, pp. 127-131
  • Stong, R.E., Finite topological spaces (1966) Trans. Amer. Math. Soc., 123, pp. 325-340

Citas:

---------- APA ----------
Barmak, J.A. & Minian, E.G. (2009) . Automorphism groups of finite posets. Discrete Mathematics, 309(10), 3424-3426.
http://dx.doi.org/10.1016/j.disc.2008.09.026
---------- CHICAGO ----------
Barmak, J.A., Minian, E.G. "Automorphism groups of finite posets" . Discrete Mathematics 309, no. 10 (2009) : 3424-3426.
http://dx.doi.org/10.1016/j.disc.2008.09.026
---------- MLA ----------
Barmak, J.A., Minian, E.G. "Automorphism groups of finite posets" . Discrete Mathematics, vol. 309, no. 10, 2009, pp. 3424-3426.
http://dx.doi.org/10.1016/j.disc.2008.09.026
---------- VANCOUVER ----------
Barmak, J.A., Minian, E.G. Automorphism groups of finite posets. Discrete Math. 2009;309(10):3424-3426.
http://dx.doi.org/10.1016/j.disc.2008.09.026