Abstract
Presentations of groups by rewriting systems (that is, by monoid presentations), have been fruitfully studied by encoding the rewriting system in a 2-complex—the Squier complex—whose fundamental groupoid then describes the derivation of consequences of the rewrite rules. We describe a reduced form of the Squier complex, investigate the structure of its fundamental groupoid, and show that key properties of the presentation are still encoded in the reduced form.
Original language | English |
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Pages (from-to) | 623–639 |
Number of pages | 17 |
Journal | Beiträge zur Algebra und Geometrie |
Volume | 62 |
Early online date | 15 Sept 2020 |
DOIs | |
Publication status | Published - Sept 2021 |