Connected gradings and the fundamental group

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The main purpose of this paper is to provide explicit computations of the fundamental groups of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings. This theoreti...

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Detalles Bibliográficos
Autores principales: Cibils, C., Redondo, M.J., Solotar, A.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2010
Materias:
Fundamental group
Galois covering
Grading
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_19370652_v4_n5_p625_Cibils
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paperaa:paper_19370652_v4_n5_p625_Cibils
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spelling paperaa:paper_19370652_v4_n5_p625_Cibils2023-06-12T16:51:51Z Connected gradings and the fundamental group Algebra Number Theory 2010;4(5):625-648 Cibils, C. Redondo, M.J. Solotar, A. Fundamental group Galois covering Grading The main purpose of this paper is to provide explicit computations of the fundamental groups of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings. This theoretical tool gives information about the fundamental group of A, which allows its computation using complete lists of gradings. © 2010 by Mathematical Sciences Publishers. Fil:Redondo, M.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_19370652_v4_n5_p625_Cibils
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Fundamental group
Galois covering
Grading
spellingShingle Fundamental group
Galois covering
Grading
Cibils, C.
Redondo, M.J.
Solotar, A.
Connected gradings and the fundamental group
topic_facet Fundamental group
Galois covering
Grading
description The main purpose of this paper is to provide explicit computations of the fundamental groups of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings. This theoretical tool gives information about the fundamental group of A, which allows its computation using complete lists of gradings. © 2010 by Mathematical Sciences Publishers.
format Artículo
Artículo
publishedVersion
author Cibils, C.
Redondo, M.J.
Solotar, A.
author_facet Cibils, C.
Redondo, M.J.
Solotar, A.
author_sort Cibils, C.
title Connected gradings and the fundamental group
title_short Connected gradings and the fundamental group
title_full Connected gradings and the fundamental group
title_fullStr Connected gradings and the fundamental group
title_full_unstemmed Connected gradings and the fundamental group
title_sort connected gradings and the fundamental group
publishDate 2010
url http://hdl.handle.net/20.500.12110/paper_19370652_v4_n5_p625_Cibils
work_keys_str_mv AT cibilsc connectedgradingsandthefundamentalgroup
AT redondomj connectedgradingsandthefundamentalgroup
AT solotara connectedgradingsandthefundamentalgroup
_version_ 1769810051069902848

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