A NOTE ON THE FUNDAMENTAL GROUP OF A ONE-POINT EXTENSION
Author
ASSEM,I
BUSTAMANTE,J. C.
CASTONGUAY,D
NOVOA,C
Abstract
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