Joining of circuits in $PSL(2,\mathbb{Z})$-space
Bull. Korean Math. Soc. 2015 Vol. 52, No. 6, 2047-2069
https://doi.org/10.4134/BKMS.2015.52.6.2047
Published online November 30, 2015
Qaiser Mushtaq and Abdul Razaq
Quaid-i-Azam University Islamabad, Quaid-i-Azam University Islamabad
Abstract : The coset diagrams are composed of fragments, and the fragments are further composed of circuits at a certain common point. A condition for the existence of a certain fragment $\gamma $ of a coset diagram in a coset diagram is a polynomial $f$ in $ \mathbb{Z} \lbrack z].$ In this paper, we answer the question: how many polynomials are obtained from the fragments, evolved by joining the circuits $\left( n,n\right) $ and $\left( m,m\right) ,$ where $n
Keywords : modular group, coset diagrams, projective line over finite field
MSC numbers : Primary 05C25; Secondary 20G40
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