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- W3037234404 abstract "We generalize the Brin-Higman-Thompson groups $n G_{k,1}$ to monoids $n M_{k,1}$, for $n ge 1$ and $k ge 2$, by replacing bijections by partial functions. The monoid $n M_{k,1}$ has $n G_{k,1}$ as its group of units, and is congruence-simple. Moreover, $n M_{k,1}$ is finitely generated, and for $n ge 2$ its word problem is {sf coNP}-complete. We also present new results about higher-dimensional joinless codes." @default.
- W3037234404 created "2020-07-02" @default.
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- W3037234404 date "2020-06-27" @default.
- W3037234404 modified "2023-09-27" @default.
- W3037234404 title "A monoid version of the Brin-Higman-Thompson groups" @default.
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