Journals / Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2017 / Cilt: 10 - Sayı: 1

Suborbital Graphs For The Invariance Group

Pages
1–1
Publication Date
2017-06-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

And also we went further to show some relations between the lengths of circuits in and the generate elliptic elements of the group Gamma [N].

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we investigate some suborbital graphs for the invariance group.
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Key Findings & Data:We gave a necessary and sufficient condition for the graph F_(u,N) to be circuit.
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Conclusion & Impact:And also we went further to show some relations between the lengths of circuits in and the generate elliptic elements of the group Gamma [N].
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Invariance group · orbit · block

Abstract

In this paper, we investigate some suborbital graphs for the invariance group. We gave a necessary and sufficient condition for the graph F_(u,N) to be circuit. And also we went further to show some relations between the lengths of circuits in and the generate elliptic elements of the group Gamma [N].

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Cite This Article

BEŞENK, M. (2017). Suborbital Graphs For The Invariance Group. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 10 - Sayı: 1, 1–1. https://ajindex.com/articles/742292

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References (9)

  1. Akbaş M. “On Suborbital Graphs For The Modular Group”, Bulletin London Mathematical Society 33: 647–652, (2001).
  2. Beşenk M. “Connectedness of Suborbital Graphs For a Special Subgroup of The Modular Group”, Mathematical Sciences and Applications E-Notes 4(1): 45–54,(2016).
  3. Beşenk M., Güler B.Ö., Değer A.H., Kesicioğlu Y. “Circuit Lengths of Graphs For The Picard Group”, Journal of Inequalities and Applications 1: 106–114,(2013).
  4. Bigg N.L., White A.T. Permutation Groups and Combinatorial Structures. Cambridge University Press, Cambridge, (1979).
  5. Güler B.Ö., Beşenk M., Değer A.H., Kader S. “Elliptic Elements and Circuits in Suborbital Graphs”, Hacettepe Journal of Mathematics and Statistics 40: 203–210, (2011).
  6. Hardy G. H., Wright E. M. An Introduction to The Theory of Numbers. Oxford University Press, Oxford, (1979).
  7. Jones G. A., Singerman D., Wicks K. “The Modular Group and Generalized Farey Graphs”, London Mathematical Society Lecture Note Series 160: 316–338, (1991).
  8. Kesicioğlu Y., Akbaş M., Beşenk M. “Connectedness of a Suborbital Graph For Congruence Subgroups”, Journal of Inequalities and Applications 1: 117–124, (2013). Schoeneberg B. Elliptic Modular Functions. Springer, Berlin, (1974).
  9. Sims C.C. “Graphs and Finite Fermutation Groups”, Mathematische Zeitschrift 95: 76–86, (1967). Tsuzuku T. Finite Groups and Finite Geometries. Cambridge University Press, Cambridge, (1982).