Orbital graphs for a special linear group
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Abstract (EN)
In this study suborbital graphs on the infinite block for the 𝑆𝐿∗ (3, ℤ)0 group, a special congruence subgroup of the 𝑆𝐿(3, ℤ) are investigated. In the first chapter, about the subject general concepts and revealing examples dealing with Topological Groups, Hyperbolic Geometry, Riemann Surfaces, Möbius Transformations and Graph Theory aregiven. In the second chapter, edge conditions in suborbital graphs of the congrence subgroup 𝑆𝐿∗ (3, ℤ)0 and cases for being self paired edge are investigated. Also necessary and sufficient conditions for the suborbital graphs to contain a circuit are obtained.
Author
Kübra Oymak
How to Cite
Kübra Oymak (Master Thesis). Orbital graphs for a special linear group, 2024, Pamukkale University.
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