Groupoids and the algebra of rewriting in group presentations

N. D. Gilbert, Emma A. McDougall

Research output: Contribution to journalArticlepeer-review

10 Downloads (Pure)


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 languageEnglish
JournalBeiträge zur Algebra und Geometrie
Early online date15 Sept 2020
Publication statusE-pub ahead of print - 15 Sept 2020


Dive into the research topics of 'Groupoids and the algebra of rewriting in group presentations'. Together they form a unique fingerprint.

Cite this