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arXiv · 0709.0743

Semitransitive and transitive subsemigroups of the inverse symmetric semigroups

Karin Cvetko-Vah·Damjana Kokol Bukovšek·Tomaž Košir·Ganna Kudryavtseva·Yaroslav Lavrenyuk·Andriy Oliynyk
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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.

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Karin Cvetko-Vah, Damjana Kokol Bukovšek, Tomaž Košir, Ganna Kudryavtseva, Yaroslav Lavrenyuk, Andriy Oliynyk. 2007-09-05. Semitransitive and transitive subsemigroups of the inverse symmetric semigroups. https://doi.org/10.1007/s00233-008-9123-z

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