Fundamental groups and presentations of algebras

2004/05/07 by Juan Carlos Bustamante, Bustamante, Juan Carlos, Diane Castonguay +1 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Rings, Modules, and Algebras #math.RA #msc:16G20

paper · pdf · doi:10.48550/arxiv.math/0405127

13 pages, xy-pic diagrams

arxiv created 2005/05/03 · arxiv updated 2009/12/01

Abstract

In this note, we investigate how different fundamental groups of presentations of a fixed algebra A can be. For finitely many finitely presented groups G_i, we construct an algebra A such that all G_i appear as fundamental groups of presentations of A.

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• Finitely presented groups and homotopy of presentations of triangular algebras

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