The rank of the inverse semigroup of all partial automorphisms on a finite crown

Ilinka Dimitrova, Jörg Koppitz

For $n\in \mathbb{N}$, let $[n]=\{1,2,\dots ,n\}$ be an $n$ - element set. As usual, we denote by $I_n$ the symmetric inverse semigroup on $[n]$, i.e. the partial one-to-one…