A. Deajim

activity

20182022

most citedOn the number of orbits arising from the action of $\mbox{PSL}(2,\mathbb{Z})$ on imaginary quadratic number fields

1 citations · 1 across the 4 of their papers we have counts for

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math.GR2022

Revisiting the action of a subgroup of the modular group on imaginary quadratic number fields

Abdulaziz Deajim

Consider the modular group $\mbox{PSL}(2,\mathbb{Z})=\langle x, \, y \,|\, x^2=y^3=1\rangle$ generated by the transformations $x : z \mapsto - 1/ z$ and $y : z \mapsto (z - 1) / z$ . Let $H$ b…

math.GR2019★ 1 cited

On the number of orbits arising from the action of $\mbox{PSL}(2,\mathbb{Z})$ on imaginary quadratic number fields

Muhammad Aslam, Abdulaziz Deajim

For square-free positive integers $n$ , we study the action of the modular group $\mbox{PSL}(2,\mathbb{Z})$ on the subsets $\{\,\frac{a+\sqrt{-n}}{c}\in \mathbb{Q}(\sqrt{-n})\, | \,…