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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

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ASSEM, I; BUSTAMANTE, J. C.; CASTONGUAY, D  y  NOVOA, C. A NOTE ON THE FUNDAMENTAL GROUP OF A ONE-POINT EXTENSION. Proyecciones (Antofagasta) [online]. 2005, vol.24, n.1, pp. 79-87. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172005000100007.

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

Palabras llave : Fundamental groups; bound quivers; presentations of algebras.

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