Comptes Rendus
Géométrie et Topologie, Théorie des groupes
Free inverse monoids are not FP 2
Robert D. Gray1 ; Benjamin Steinberg2
1 School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
2 Department of Mathematics, City College of New York, Convent Avenue at 138th Street, New York, New York 10031, USA
Comptes Rendus. Mathématique, Volume 359 (2021) no. 8, pp. 1047-1057.

We give a topological proof that a free inverse monoid on one or more generators is neither of type left-FP 2 nor right-FP 2 . This strengthens a classical result of Schein that such monoids are not finitely presented as monoids.

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DOI : 10.5802/crmath.247
Classification : 20M50, 20M18, 20M05, 20J05
Robert D. Gray 1 ; Benjamin Steinberg 2

1 School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
2 Department of Mathematics, City College of New York, Convent Avenue at 138th Street, New York, New York 10031, USA
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Free inverse monoids are not ${\protect \rm FP}_2$},
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     pages = {1047--1057},
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Robert D. Gray; Benjamin Steinberg. Free inverse monoids are not ${\protect \rm FP}_2$. Comptes Rendus. Mathématique, Volume 359 (2021) no. 8, pp. 1047-1057. doi : 10.5802/crmath.247. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.247/

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