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: | , , , |
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Lenguaje: | English |
Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2005
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Materias: | |
Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000100007 |
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Sumario: | 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 |
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