Parametrization of actions of (u, v : u^6 = v^6 = 1)
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SM ISO690:2012
ASLAM, Muhammad, MUSHTAQ, Qaiser. Parametrization of actions of (u, v : u^6 = v^6 = 1). In: Quasigroups and Related Systems, 2011, vol. 19, nr. 2(26), pp. 183-192. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 19, Numărul 2(26) / 2011 / ISSN 1561-2848

Parametrization of actions of (u, v : u^6 = v^6 = 1)

Pag. 183-192

Aslam Muhammad, Mushtaq Qaiser
 
Quaid-i-Azam University, Islamabad
 
 
Disponibil în IBN: 16 decembrie 2013


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 (u, v, t : u^6 = v^6 = t^2 = (ut)^2 = (vt)^2 = 1 on the projective line over nite Galois fields.

Cuvinte-cheie
Linear-fractional transformation, non-degenerate homomorphism, conju gacy classe, parametrization and projective line.