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arXiv · 2303.16044

Finite Presentability of Brin-Higman-Thompson Monoids via Free J\'onsson-Tarski Algebras

Bill de Witt·Luna Elliott
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Abstract

We show that the monoids totM_{k,1} introduced by Birget and their generalizations tot nM_{k,r} which extend the Brin-Higman-Thompson groups, can be realized as the endomorphism monoids of higher-dimensional J\'onsson-Tarski algebras. We also show how elements of these monoids can be thought of as "rewrite rules". We use these representations to show that the monoids are finitely presented.

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Bill de Witt, Luna Elliott. 2023-03-28. Finite Presentability of Brin-Higman-Thompson Monoids via Free J\'onsson-Tarski Algebras. https://arxiv.org/abs/2303.16044

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