Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 2

Elliptic elements and circuits in suborbital graphs

Pages
203–210
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

In this paper, we examine some relations between elliptic elements and circuits in graph for the normalizer of $Gamma$0(N) in PSL(2,$Bbb {R}$).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We consider the action of a permutation group on a set in the spirit of the theory of permutation groups, and graph arising from this action in hyperbolic geometric terms.
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Key Findings & Data:We consider the action of a permutation group on a set in the spirit of the theory of permutation groups, and graph arising from this action in hyperbolic geometric terms.
💡
Conclusion & Impact:In this paper, we examine some relations between elliptic elements and circuits in graph for the normalizer of $Gamma$0(N) in PSL(2,$Bbb {R}$).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We consider the action of a permutation group on a set in the spirit of the theory of permutation groups, and graph arising from this action in hyperbolic geometric terms. In this paper, we examine some relations between elliptic elements and circuits in graph for the normalizer of $Gamma$0(N) in PSL(2,$Bbb {R}$).

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Cite This Article

GÜLER, B. Ö., BESENK, M., DEĞER, A., KADER, S. (2022). Elliptic elements and circuits in suborbital graphs. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 2, 203–210. https://ajindex.com/articles/530636

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References (15)

  1. Akba¸s, M. and Singerman, D. The Normalizer of $Gamma$0(N) in PSL(2, R), Glasgow Math. J. 32, 317–327, 1990
  2. Akbaş, M. and Singerman, D. The Signature of the normalizer of $Gamma$0(N) (London Math. Soc. Lectures Note Series 165, 1992), 77–86
  3. Akbaş, M. and Başkan, T. Suborbital graphs for the normalizer of $Gamma$0(N), Turkish J. Math. 20, 379–387, 1996
  4. Akbaş, M. On suborbital graphs for the modular group, Bull. London Math. Soc. 33,647–652, 2001
  5. Bigg, N. L. and White, A.T. Permutation groups and combinatorial structures, (London Mathematical Society Lecture Note Series 33, CUP, Cambridge, 1979)
  6. Conway, J.H. and Norton, S. P. Monstrous moonshine, Bull. London Math. Soc. 11, 308– 339, 1977
  7. Jones, G.A., Singerman, D. and Wicks, K. The modular group and generalized Farey graphs (London Math. Soc. Lecture Note Series 160, CUP, Cambridge, 1991), 316-338
  8. Keskin, R. On suborbitals graphs for some Hecke groups, Discrete Math. 234 (1–3), 53–64, 2001
  9. Keskin, R. Suborbital graphs for the normalizer of $Gamma$0(m), European J. Combin. 27 (2), 193–206, 2006
  10. Keskin, R. and Demirtürk, B. On suborbital graphs for the normalizer of $Gamma$0(N), Electronic J. Combin. 27, R116, 2009
  11. Maclachlan, C. Groups of units of zero ternary quadratic forms, Proc. Roy. Soc., Edinburgh Sect. A 88, 141–157, 1981
  12. Neumann, P.M. Finite Permutation Groups, Edge-Coloured Graphs and Matrices, in Topics in Group Theory and Computation, Ed. M.P. J. Curran (Academic Press, London, New York, San Fransisco, 1977)
  13. Schoeneberg, B. Elliptic Modular Functions (Springer Verlag, Berlin, 1974)
  14. Sims, C.C. Graphs and finite permutation groups, Math. Z. 95, 76–86, 1967
  15. Tsuzuku, T. Finite Groups and Finite Geometries (Cambridge University Press, Cambridge, 1982).