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arXiv:2002.07690 [math.GR]AbstractReferencesReviewsResources

Free inverse monoids are not $FP_2$

Robert D. Gray, Benjamin Steinberg

Published 2020-02-18Version 1

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.

Comments: 5 pages, 1 figure, This article was originally part of our paper arXiv:1805.03413, and has now been extracted as this short note
Categories: math.GR, math.AT, math.RA
Subjects: 20M50, 20M18, 20M05, 20J05
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