Semitransitive and transitive subsemigroups of the inverse symmetric semigroups
Group Theory
2023-08-10 v1
Abstract
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.
Cite
@article{arxiv.0709.0743,
title = {Semitransitive and transitive subsemigroups of the inverse symmetric semigroups},
author = {Karin Cvetko-Vah and Damjana Kokol Bukovšek and Tomaž Košir and Ganna Kudryavtseva and Yaroslav Lavrenyuk and Andriy Oliynyk},
journal= {arXiv preprint arXiv:0709.0743},
year = {2023}
}
Comments
16 pages