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: JOUR
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 todo:paper_19370652_v4_n5_p625_Cibils
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spelling todo:paper_19370652_v4_n5_p625_Cibils2023-10-03T16:36:41Z Connected gradings and the fundamental group 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. JOUR 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)
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 JOUR
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
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_ 1807315828337541120

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