Topological Underpinnings of the Modular Group | Ravi Kulkarni, BP, Pune and CUNY, New York.
Автор: Bhaskaracharya Pratishthana, Pune
Загружено: 2021-10-03
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Program Page: https://sites.google.com/view/bms2021...
Abstract: We revisit a classical theorem of Millington on subgroups of inhomogeneous modular group PSL(2, Z).
Millington’s proof was highly algebraic. We use the theory of branched coverings of Riemann surfaces to give a constructive and topological proof of Millington's theorem.
We shall also discuss a problem posed by Millington about realizable cusp-widths of a finite index subgroup of PSL(2, Z).
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