A note on fundamental group of a one point-extension

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Data

2005-05

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Resumo

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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Fundamental groups, Bound quivers, Presentations of algebras

Citação

ASSEM, I.; BUSTAMANTE, J. C.; CASTONGUAY, D.; NOVOA, C. A note on fundamental group of a one point-extension. Proyecciones, Antofagasta, v. 24, n. 1, p. 79-87, May 2005.