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arXiv 2011-04-04 0 views

Orbits of (√n) under the action of Modular Group PSL(2,Z)

Riaz, M. · Malik, M. Aslam

Original · EN

Coset diagrams have been used to study quotients, orbits, subgroups and structure of the finitely generated groups. In this paper we use coset diagrams and modular arithmetic to determine the G-orbits of (√pᵏ), (√2pᵏ), (√2²pᵏ), and in general (√2ˡpᵏ), for each l≥3 and k=2h+1≥3, for each odd prime p.

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