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 language | English |
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Pages (from-to) | 141-152 |
Number of pages | 12 |
Journal | International Journal of Algebra and Computation |
Volume | 8 |
Issue number | 2 |
Publication status | Published - Apr 1998 |