Fundamental groups and presentations of algebras

Mathematics – Rings and Algebras

Scientific paper

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13 pages, xy-pic diagrams

Scientific paper

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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