Structure about Connected or Irreducible Automor-phism Group of Transformation Semigroup
Deng Pei-min · Guangxi kexue · 2008
The sufficient and neccessory condition of the transformation group induced by a transformation semigroup maintaining connectivity is discussed. It is proved that the transformation group induced by an irreducible transformation semigroup is irreducible,that the automorphism group of an irreducible transformation semigroup is a primitive permutation group, that the automorphism group of a connected transformation semigroup is a regular permutation group, and that the automorphism group of a connected and irreducible transformation semigroup is a cyclic group with prime order.