On the \(n\)-transitivity of the group of Möbius transformations on \(\mathbb{C}_{\infty}\)

DOI10.1016/j.chaos.2007.07.024zbMath1197.30015OpenAlexW2088998123MaRDI QIDQ602122

Nihal Yilmaz Özgür

Publication date: 31 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.07.024

Mathematics Subject Classification ID

Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Cites Work

• A new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping
• Modular groups in Cantorian \(E^{(\infty)}\) high-energy physics.
• Kleinian groups in \(E^{(\infty)}\) and their connection to particle physics and cosmology.
• A review of \(E\) infinity theory and the mass spectrum of high energy particle physics
• A note on the characteristics of Möbius transformations
• On an observer-related unequivalence between spatial dimensions of a generic Cremonian universe
• A new characteristic of Möbius transformations by use of Apollonius points of triangles
• A proof of the principle of circle-transformation by the use of a theorem on univalent functions
• A new characterization of Möbius transformations by the use of Apollonius points of \((2n-1)\)-gons
• Sphere-preserving maps in inversive geometry
• A new characteristic of Möbius transformations by use of Apollonius quadrilaterals
• A new characterization of Möbius transformations by use of Apollonius hexagons
• A note on the characteristics of Möbius transformations. II
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