Semitransitive and transitive subsemigroups of the inverse symmetric semigroups
Karin Cvetko-Vah, Damjana Kokol Bukovšek, Tomaž Košir, Ganna Kudryavtseva, Yaroslav Lavrenyuk, Andriy Oliynyk · arXiv (Cornell University) · 2007
We classify minimal transitive subsemigroups of the finitary inverse symmetric semigroup modulo the classification of minimal transitive subgroups of finite symmetric groups; and semitransitive subsemigroups of the finite inverse symmetric semigroup of the minimal cardinality modulo the classification of transitive subgroups of the minimal cardinality of finite symmetric groups.