JOINING OF CIRCUITS IN PSL(2; Z)-SPACE
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The coset diagrams are composed of fragments, and the fragments are further composed of circuits at a certain common point. A condition for the existence of a certain fragment γ of a coset diagram in a coset diagram is a polynomial f in Z[z]: In this paper, we answer the question: how many polynomials are obtained from the fragments, evolved by joining the circuits (n; n) and (m;m) ; where n < m, at all points.
Abstract
The coset diagrams are composed of fragments, and the fragments are further composed of circuits at a certain common point. A condition for the existence of a certain fragment γ of a coset diagram in a coset diagram is a polynomial f in Z[z]: In this paper, we answer the question: how many polynomials are obtained from the fragments, evolved by joining the circuits (n; n) and (m;m) ; where n < m, at all points.
참고문헌 (11)
- M. Akbas, "On suborbital graphs for the modular group", Bull. Lond. Math. Soc, 33(6), pp.647~652 (2001)
- B. Everitt, "Alternating quotients of the (3, q, r) triangle groups", Comm. Algebra, 25(6), pp.1817~1832 (1997)
- E. Fujikawa, "Modular groups acting on infinite dimensional Teichmuller spaces, In the tradition of Ahlfors and Bers, III", Contemp. Math, 355, pp.239~253 (2004), Amer. Math. Soc
- G. Higman, "Generators and relations for PSL(2, Z)", Gulf J. Sci. Res, 31(1), pp.159~164 (1983)
- O. Koruoglu, "The determination of parabolic points in modular and extended modular groups by continued fractions", Bull. Malays. Math. Sci. Soc. (2), 33(3), pp.439~445 (2010)
- Q. Mushtaq, "A condition for the existence of a fragment of a coset diagram", Quart. J. Math. Oxford Ser. (2), 39(153), pp.81~95 (1988)
- Q. Mushtaq, "Parameterization of all homomorphisms from PGL(2, Z) into PSL(2, q)", Comm. Algebra, 4(20), pp.1023~1040 (1992)
- Q. Mushtaq, "Alternating groups as quotients of two generator group", Adv. Math, 96(1), pp.113~121 (1993)
- Q. Mushtaq, "Permutation representation of the symmetry groups of regular hyperbolic tessellations", J. London Math. Soc. (2), 48(1), pp.77~86 (1993)
- Q. Mushtaq, "Equivalent pairs of words and points of connection", Sci. World J, 2014, pp.8~ (2014)
- A. Torstensson, "Coset diagrams in the study of finitely presented groups with an appli-cation to quotients of the modular group", J. Commut. Algebra, 2(4), pp.501~514 (2010)