Ph.D. Tezi Görüntüleme | |||||||||||||||||||||
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| Summary: PhD Thesis SUMMARY THE GRAPHS OF CONGRUANCE SUBGROUPS
Karadeniz Technical University The Graduate School of Natural and Applied SciencesMathematic Graduate Program Supervisor: Prof. Dr. Mehmet AKBAŞ2017, 77 Pages In this thesis, the action of the group Γo(n/h) on Q^(h) and suborbital graphs arising from this action are investigated.In the first chapter, we give some definitions and theorems requiring for second chapter.In the second chapter, the action of the group Γo(n/h) on Q^(h), the suborbital graphs arising from this action and the conditions being edge in these suborbital graphs aregiven. After that, the suborbital graphs F(1,n) for all nϵN, are investigated comprehensively and in these graphs the relation of path connecting to the largest vertices one another and some interesting results contributing to the Number Theory are proved. Finally, the suborbital graphs F(u,2u+1), u∈N and the condition ko=2 of Theorem 10 in [1] are examined.
Key Words: Graph Theory, Modular Group, Group Action, Number Theory | |||||||||||||||||||||