Finitely presented groups and homotopy of presentations of triangular algebras

Details Finitely presented groups and homotopy of presentations of triangular algebras Finitely presented groups and homotopy of presentations of triangular algebras

2008-07-28

arxiv.org/abs/0807.4346v2

Mathematics

Group Theory

Scientific paper

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]

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