Free inverse monoids are not FP2

Robert Gray; Benjamin Steinberg

doi:10.5802/crmath.247

Free inverse monoids are not FP₂

Robert Gray
, Benjamin Steinberg

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

23 Downloads (Pure)

Abstract

We give a topological proof that a free inverse monoid on one or more generators is neither of type left-FP₂ nor right-FP₂. This strengthens a classical result of Schein that such monoids are not finitely presented as monoids.

Original language	English
Pages (from-to)	1047-1057
Number of pages	11
Journal	Comptes Rendus Mathematique
Volume	359
Issue number	8
DOIs	https://doi.org/10.5802/crmath.247
Publication status	Published - 8 Oct 2021

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10.5802/crmath.247Licence: CC BY

Accepted manuscriptAccepted author manuscript, 260 KB

Topological and homological properties of one-relator monoids
Gray, R. (Principal Investigator)
London Mathematical Society (The)
1/04/19 → 30/09/19
Project: Research
Special inverse monoids: subgroups, structure, geometry, rewriting systems and the word problem - EPSRC First Grant
Gray, R. (Principal Investigator)
Engineering and Physical Sciences Research Council
5/07/16 → 4/07/18
Project: Research

Cite this

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Free inverse monoids are not FP2

Abstract

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Projects

Topological and homological properties of one-relator monoids

Special inverse monoids: subgroups, structure, geometry, rewriting systems and the word problem - EPSRC First Grant

Cite this

Free inverse monoids are not FP₂