Combinatorics of partial wreath power of finite inverse symmetric semigroup ${\mathcal{I}\mathcal{S}}_d$

Eugenia Kochubinska

We study some combinatorial properties of partial wreath $k$-th power of the semigroup ${\mathcal{I}\mathcal{S}}_d$. In particular, we calculate its order, the number of idempotents and the nu…