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The fundamental group of an algebra with a strongly simply connected Galois covering

Instituto de Informática Bloco IMF I, Campus II, Samambaia, Universidade Federal de Goiás, Goiãnia, GO, Brazil

Centro Marplatense de Investigaciones Matemáticas, Facultad de Ciencias Exactas y Naturales, Funes 3350, Universidad Nacional de Mar del Plata, 7600 Mar del Plata, Argentina

E-mail Address: claudia.chaio@gmail.com

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Sonia Trepode

Centro Marplatense de Investigaciones Matemáticas, Facultad de Ciencias Exactas y Naturales, Funes 3350, Universidad Nacional de Mar del Plata, 7600 Mar del Plata, Argentina

E-mail Address: strepode@mdp.edu.ar

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https://doi.org/10.1142/S021949881950052XCited by:0 (Source: Crossref)

Abstract

In this work, we prove that if a triangular algebra $A$ admits a strongly simply connected universal Galois covering for a given presentation, then the fundamental group associated to this presentation is free.

Communicated by A. Facchini

Keywords:

AMSC: 16G70, 16G20, 16E10

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