Showing math.GRShow all
2 papers · 1 filter
math.GR2026
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…
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 grou…