The fundamental group of an algebra with strongly simply connected\n Galois covering

2018/03/02 by Claudia Chaio, Chaio, Claudia, Diane Castonguay +3
Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.1803.00901

Abstract

In this work, we prove that if a triangular algebra A admits a strongly\nsimply connected universal Galois covering for a given presentation then the\nfundamental group associated to this presentation is free.\n

Related

• Universal covering spaces and fundamental groups in algebraic geometry as schemes
• On the fundamental group of an abelian cover
• Finitely presented groups and homotopy of presentations of triangular algebras
• Fundamental groups and presentations of algebras
• Tannakian Fundamental Groups Associated to Galois Groups