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  • 1 Teachers College Jeju National University Department of Mathematics Education Jeju 690-781 Korea
  • 2 Kyungpook National University Department of Mathematics Taegu 702-701 Korea
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Abstract  

The purpose of this paper is to describe the structures of the Möbius semigroup induced by the Möbius transformation group (ℝ, SL(2,ℝ)). In particular, we study stabilizer subsemigoups of Möbius semigroup via the triangle semigroup. In this work, we obtained a geometric interpretation of the least contraction coefficient function of the Möbius semigroup via the triangle semigroup and investigated an extension of stabilizer subsemigoups of the Möbius semigroup. Finally, we obtained a factorization of our stabilizer subsemigoups of the Möbius semigroup.