Free inverse monoids are not FP2

Robert Gray, Benjamin Steinberg

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2 Citations (Scopus)
12 Downloads (Pure)


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 languageEnglish
Pages (from-to)1047-1057
Number of pages11
JournalComptes Rendus Mathématique
Issue number8
Publication statusPublished - 8 Oct 2021

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