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arXiv · 2002.07690

Free inverse monoids are not $FP_2$

Robert D. Gray·Benjamin Steinberg
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Abstract

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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Robert D. Gray, Benjamin Steinberg. 2020-02-18. Free inverse monoids are not $FP_2$. https://arxiv.org/abs/2002.07690

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