Finitely presented groups and homotopy of presentations of triangular algebras

2008/07/28 by Jorge Nicolas Lopez, Lopez, Jorge Nicolas
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA

paper · pdf · doi:10.48550/arxiv.0807.4346

arxiv created 2008/07/30 · arxiv updated 2009/12/01

Abstract

Given any finitely presented group G we find a triangular algebra such that has two presentations, one with fundamental group G and another with trivial group. Thus proving that given a collection G1,...,Gn of finitely presented groups there exist a triangular algebra A such that all Gi appear as fundamental group of some presentation of A, extending one of the result in arXiv:math/0405127v3 [math.RA]

Citations

• Fundamental groups and presentations of algebras

Related

• Fundamental groups and presentations of algebras
• Metabelianisations of finitely presented groups
• The fundamental group of an algebra with strongly simply connected\n Galois covering
• A remark to "A note on the Fundamental Group of a Triangular Algebra", by F.Xu
• Finite Presentation