Monoid presentations and associated groupoids

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4 Citations (Scopus)

Abstract

We consider properties of a 2-complex associated by Squier to a monoid presentation. We show that the fundamental groupoid admits a monoid structure, and we establish a relationship between its group completion and the fundamental group of the 2-complex. We also treat a modified complex, due to Pride, for monoid presentations of groups, and compute the structure of the fundamental groupoid in this setting.

Original languageEnglish
Pages (from-to)141-152
Number of pages12
JournalInternational Journal of Algebra and Computation
Volume8
Issue number2
Publication statusPublished - Apr 1998

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