Automorphism groups of finite posets
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. T...
Guardado en:
| Autores principales: | , |
|---|---|
| Publicado: |
2009
|
| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0012365X_v309_n10_p3424_Barmak http://hdl.handle.net/20.500.12110/paper_0012365X_v309_n10_p3424_Barmak |
| Aporte de: |
| id |
paper:paper_0012365X_v309_n10_p3424_Barmak |
|---|---|
| record_format |
dspace |
| spelling |
paper:paper_0012365X_v309_n10_p3424_Barmak2023-06-08T14:35:22Z Automorphism groups of finite posets Barmak, Jonathan A. Minian, Elias Gabriel Automorphisms Finite topological spaces Posets Automorphism groups Automorphisms Finite groups Finite poset Finite topological spaces Group of automorphisms Homotopy types Posets 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. Fil:Barmak, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Minian, E.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0012365X_v309_n10_p3424_Barmak http://hdl.handle.net/20.500.12110/paper_0012365X_v309_n10_p3424_Barmak |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Automorphisms Finite topological spaces Posets Automorphism groups Automorphisms Finite groups Finite poset Finite topological spaces Group of automorphisms Homotopy types Posets |
| spellingShingle |
Automorphisms Finite topological spaces Posets Automorphism groups Automorphisms Finite groups Finite poset Finite topological spaces Group of automorphisms Homotopy types Posets Barmak, Jonathan A. Minian, Elias Gabriel Automorphism groups of finite posets |
| topic_facet |
Automorphisms Finite topological spaces Posets Automorphism groups Automorphisms Finite groups Finite poset Finite topological spaces Group of automorphisms Homotopy types Posets |
| description |
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. |
| author |
Barmak, Jonathan A. Minian, Elias Gabriel |
| author_facet |
Barmak, Jonathan A. Minian, Elias Gabriel |
| author_sort |
Barmak, Jonathan A. |
| title |
Automorphism groups of finite posets |
| title_short |
Automorphism groups of finite posets |
| title_full |
Automorphism groups of finite posets |
| title_fullStr |
Automorphism groups of finite posets |
| title_full_unstemmed |
Automorphism groups of finite posets |
| title_sort |
automorphism groups of finite posets |
| publishDate |
2009 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0012365X_v309_n10_p3424_Barmak http://hdl.handle.net/20.500.12110/paper_0012365X_v309_n10_p3424_Barmak |
| work_keys_str_mv |
AT barmakjonathana automorphismgroupsoffiniteposets AT minianeliasgabriel automorphismgroupsoffiniteposets |
| _version_ |
1768545401277775872 |