Finite Presentability of Brin-Higman-Thompson Monoids via Free Jónsson-Tarski Algebras (2303.16044v1)

Published 28 Mar 2023 in math.RA

Abstract: We show that the total monoids totnM_{k,1} introduced by Birget(and their multi-rooted generalisations), which extend the Brin-Higman-Thompson groups, can be realised as the endomorphism monoids of higher dimensional J\'onnson-Tarski algebras. We use this representation to show that they are finitely presented.

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