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New Orbits of Q(√m) Under the Action of Discrete Subgroups H(l ) of PSL(2,R) |
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PP: 91-95 |
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doi:10.18576/msl/070203
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Author(s) |
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Asim Zafar,
Aslam Malik,
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Abstract |
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| Hecke groups H(lq) are the discrete subgroups of PSL(2,R) having presentation H(lq) = hu, v : u2 = vq = 1i where
u(z) = −1
z and v(z) = −1
z+lq
are linear-fractional transformations. This paper is continuation of [5] and here we consider the action of
H(l4) on Q(√m) \Q with fixed discriminants where Q(√m) \Q is the disjoint union of Q∗(√n) = {
a+√n
c : a, c 6= 0,b = a2−n
c ∈
Z and (a,b, c) = 1} for all n = k2m. |
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