Artículo
Barmak, J.A.; Minian, E.G. "Automorphism groups of finite posets" (2009) Discrete Mathematics. 309(10):3424-3426
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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
