TY - JOUR AU - Assem, Ibrahim AU - Bustamante, Juan Carlos AU - Castonguay, Diane AU - Novoa Bustos, Cristian PY - 2017/04/20 Y2 - 2024/03/29 TI - A note on the fundamental group of a one-point extension JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 24 IS - 1 SE - DO - 10.4067/S0716-09172005000100007 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1478 SP - 79-87 AB - <p>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.</p> ER -