Parametrization of actions of a subgroup of the modular group
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2023-06-11 17:08
SM ISO690:2012
ASHIQ, Muhammad, MUSHTAQ, Qaiser, MAQSOOD, Tariq. Parametrization of actions of a subgroup of the modular group. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 1(27), pp. 21-28. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 20, Numărul 1(27) / 2012 / ISSN 1561-2848

Parametrization of actions of a subgroup of the modular group

Pag. 21-28

Ashiq Muhammad1, Mushtaq Qaiser2, Maqsood Tariq2
 
1 College of Electrical and Mechanical Engineering, National University of Science and Technology, Rawalpindi,
2 Quaid-i-Azam University, Islamabad
 
 
Disponibil în IBN: 25 februarie 2014


Rezumat

Graham Higman proposed the problem of parametrization of actions of the extended Modular Group PGL(2,Z) on the projective line over Fq. The problem was solved by Q. Mushtaq. In this paper, we take up the problem and parametrize the actions of hu, v, t : u3 = v3 = t2 = (ut)2 = (vt)2 = 1i on the projective line over nite Galois elds.

Cuvinte-cheie
Linear-fractional transformation, non-degenerate homomorphism, conjugacy classe, parametrization, projective line.