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math.GR2025
The Schützenberger groups and maximal subgroups of tropical matrices
Thomas Aird
We classify the Schützenberger groups of the category of matrices over the tropical semiring, , in doing so, we obtain a classification for the Schützenberger groups…
math.GR2024
Short presentations for transformation monoids
Thomas Aird, James D. Mitchell, Murray T. Whyte
By the theorems of Cayley and Vagner-Preston, the full transformation monoids and the symmetric inverse monoids play analogous roles in the theory of monoids and inverse monoids, a…