JOINING OF CIRCUITS IN PSL(2, ℤ)-SPACE

MUSHTAQ, QAISER; RAZAQ, ABDUL

doi:10.4134/BKMS.2015.52.6.2047

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JOINING OF CIRCUITS IN PSL(2, ℤ)-SPACE

Journal title : Bulletin of the Korean Mathematical Society
Volume 52, Issue 6, 2015, pp.2047-2069
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2015.52.6.2047

Title & Authors

JOINING OF CIRCUITS IN PSL(2, ℤ)-SPACE
MUSHTAQ, QAISER; RAZAQ, ABDUL;

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}}$}$ [z]. In this paper, we answer the question: how many polynomials are obtained from the fragments, evolved by joining the circuits (n, n) and (m, m), where n < m, at all points.

Keywords

modular group;coset diagrams;projective line over finite field;

Language

English

Cited by

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