3 problems

Let … Here $I_N$ is the special one-relation inverse monoid associated with the monoid $\Pi_N$. Conjecture on $I_N$. The Dehn function of $I_N$ is at least exponential, and the wor…

Let $M=\operatorname{Inv}\langle A\mid w=1\rangle$ be a special one-relator inverse monoid, with defining word $w$. Decompose $w$ into its minimal invertible pieces using the Benoi…

Let $M=\operatorname{Inv}\langle A\mid w=1\rangle$ be a special one-relation inverse monoid, with defining word $w$. The Benois algorithm is the procedure that computes the decompo…