A NOTE ON THE FUNDAMENTAL GROUP OF A ONE-POINT EXTENSION

A NOTE ON THE FUNDAMENTAL GROUP OF A ONE-POINT EXTENSION

In this note, we consider an algebra A which is a one-point extension of another algebra B and we study the morphism of fundamental groups induced by the inclusion of (the bound quiver of ) B into (that of ) A. Our main result says that the cokernel of this morphism is a free group and we prove some...

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Autores principales: ASSEM,I, BUSTAMANTE,J. C., CASTONGUAY,D, NOVOA,C
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2005
Materias:
Fundamental groups
bound quivers
presentations of algebras
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000100007
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spelling oai:scielo:S0716-091720050001000072005-07-06A NOTE ON THE FUNDAMENTAL GROUP OF A ONE-POINT EXTENSIONASSEM,IBUSTAMANTE,J. C.CASTONGUAY,DNOVOA,C Fundamental groups bound quivers presentations of algebras In this note, we consider an algebra A which is a one-point extension of another algebra B and we study the morphism of fundamental groups induced by the inclusion of (the bound quiver of ) B into (that of ) A. Our main result says that the cokernel of this morphism is a free group and we prove some consequences from this factinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.24 n.1 20052005-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000100007en10.4067/S0716-09172005000100007
institution Scielo Chile
collection Scielo Chile
language English
topic Fundamental groups
bound quivers
presentations of algebras
spellingShingle Fundamental groups
bound quivers
presentations of algebras
ASSEM,I
BUSTAMANTE,J. C.
CASTONGUAY,D
NOVOA,C
A NOTE ON THE FUNDAMENTAL GROUP OF A ONE-POINT EXTENSION
description In this note, we consider an algebra A which is a one-point extension of another algebra B and we study the morphism of fundamental groups induced by the inclusion of (the bound quiver of ) B into (that of ) A. Our main result says that the cokernel of this morphism is a free group and we prove some consequences from this fact
author ASSEM,I
BUSTAMANTE,J. C.
CASTONGUAY,D
NOVOA,C
author_facet ASSEM,I
BUSTAMANTE,J. C.
CASTONGUAY,D
NOVOA,C
author_sort ASSEM,I
title A NOTE ON THE FUNDAMENTAL GROUP OF A ONE-POINT EXTENSION
title_short A NOTE ON THE FUNDAMENTAL GROUP OF A ONE-POINT EXTENSION
title_full A NOTE ON THE FUNDAMENTAL GROUP OF A ONE-POINT EXTENSION
title_fullStr A NOTE ON THE FUNDAMENTAL GROUP OF A ONE-POINT EXTENSION
title_full_unstemmed A NOTE ON THE FUNDAMENTAL GROUP OF A ONE-POINT EXTENSION
title_sort note on the fundamental group of a one-point extension
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2005
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000100007
work_keys_str_mv AT assemi anoteonthefundamentalgroupofaonepointextension
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AT castonguayd anoteonthefundamentalgroupofaonepointextension
AT novoac anoteonthefundamentalgroupofaonepointextension
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AT bustamantejc noteonthefundamentalgroupofaonepointextension
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