Copy For Citation
Gökcan İ., Değer A. H.
Journal of New Theory, no.41, pp.35-50, 2022 (Peer-Reviewed Journal)
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Publication Type:
Article / Article
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Publication Date:
2022
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Doi Number:
10.53570/jnt.1161715
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Journal Name:
Journal of New Theory
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Journal Indexes:
TR DİZİN (ULAKBİM)
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Page Numbers:
pp.35-50
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Karadeniz Technical University Affiliated:
Yes
Abstract
In this study, suborbital graphs, Gu,N" role="presentation" >Gu,N and Fu,N" role="presentation" >Fu,N are examined. Modular group Γ" role="presentation" >Γ and its act on Q^" role="presentation" >ˆQ are studied. Lorentz matrix that gives the vertices obtained under the classical matrix multiplication in the suborbital graph Fu,N" role="presentation" >Fu,N is analysed with the Lorentz matrix multiplication. Lorentz matrix written as Möbius transform is normalized and the type of the transform is researched. Moreover, a different element of Modular group Γ" role="presentation" >Γ is scrutinized. The vertices on the path starting with ∞" role="presentation" >∞ are obtained under this element and the Lorentz matrix multiplication. For this path, it is shown that the vertices obtained in Fu,N" role="presentation" >Fu,N under the Lorentz matrix multiplication with the Lorentz matrix satisfied the farthest vertex condition for the previous vertex.