Connected gradings and the fundamental group

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: Redondo, María Julia, Solotar, Andrea Leonor
Publicado: 2010
Materias:
Fundamental group
Galois covering
Grading
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_19370652_v4_n5_p625_Cibils
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 paper:paper_19370652_v4_n5_p625_Cibils
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spelling paper:paper_19370652_v4_n5_p625_Cibils2023-06-08T16:32:09Z Connected gradings and the fundamental group Redondo, María Julia Solotar, Andrea Leonor 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_19370652_v4_n5_p625_Cibils 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
Redondo, María Julia
Solotar, Andrea Leonor
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.
author Redondo, María Julia
Solotar, Andrea Leonor
author_facet Redondo, María Julia
Solotar, Andrea Leonor
author_sort Redondo, María Julia
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_19370652_v4_n5_p625_Cibils
http://hdl.handle.net/20.500.12110/paper_19370652_v4_n5_p625_Cibils
work_keys_str_mv AT redondomariajulia connectedgradingsandthefundamentalgroup
AT solotarandrealeonor connectedgradingsandthefundamentalgroup
_version_ 1768541866642374656

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