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...

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Detalles Bibliográficos
Autores principales: Barmak, Jonathan A., Minian, Elias Gabriel
Publicado: 2009
Materias:
Automorphisms
Finite topological spaces
Posets
Automorphism groups
Finite groups
Finite poset
Group of automorphisms
Homotopy types
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:
Aportado por : Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires .
id paper:paper_0012365X_v309_n10_p3424_Barmak
record_format dspace
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
bdutipo_str Repositorios
_version_ 1764820556603981828

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