Semitransitive and transitive subsemigroups of the inverse symmetric semigroups

Details Semitransitive and transitive subsemigroups of the inverse symmetric semigroups Semitransitive and transitive subsemigroups of the inverse symmetric semigroups

2007-09-05

arxiv.org/abs/0709.0743v1

Mathematics

Group Theory

16 pages

Scientific paper

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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