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Discrete \(RP\) Groups with a Parabolic Generator

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Abstract

We deal with the two-generator subgroups of PSL(2, ℂ) with real traces of both generators and their commutator. We give discreteness criteria for these groups when at least one of the generators is parabolic. We also present a list of the corresponding orbifolds.

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Authors and Affiliations

  1. Gettysburg College, Gettysburg, USA

    E. Ya. Klimenko

  2. Universite de Provence, Marseille, France

    N. V. Kopteva

Authors
  1. E. Ya. Klimenko
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  2. N. V. Kopteva
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Original Russian Text Copyright © 2005 Klimenko E. Ya. and Kopteva N. V.

The authors were partially supported by a Gettysburg College Research and Professional Development Grant, 2003–2004.

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 6, pp. 1324–1334, November–December, 2005.

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Klimenko, E.Y., Kopteva, N.V. Discrete \(RP\) Groups with a Parabolic Generator. Sib Math J 46, 1069–1076 (2005). https://doi.org/10.1007/s11202-005-0101-3

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  • DOI: https://doi.org/10.1007/s11202-005-0101-3

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