Möbius and triangle semigroups

Keunbae Choi; Yongdo Lim

doi:10.1007/s10998-010-1049-z

Möbius and triangle semigroups

Keunbae Choi
, Yongdo Lim

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	49-69
Number of pages	21
Journal	Periodica Mathematica Hungarica
Volume	60
Issue number	1
DOIs	https://doi.org/10.1007/s10998-010-1049-z
State	Published - Mar 2010
Externally published	Yes

Keywords

Möbius semigroup
Triangle semigroup

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10.1007/s10998-010-1049-z

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

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AB - 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.

KW - Möbius semigroup

KW - Triangle semigroup

UR - https://www.scopus.com/pages/publications/77949508025

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JF - Periodica Mathematica Hungarica

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ER -

Möbius and triangle semigroups

Abstract

Keywords

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