Finitely presented groups and homotopy of presentations of triangular algebras
Group Theory
2008-07-30 v2 Rings and Algebras
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]
Cite
@article{arxiv.0807.4346,
title = {Finitely presented groups and homotopy of presentations of triangular algebras},
author = {Jorge Nicolas Lopez},
journal= {arXiv preprint arXiv:0807.4346},
year = {2008}
}