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Holomorphic Functions and Moduli II pp 23–27Cite as

On the existence of elliptics in subgroups of PSL(2, ℝ): A graphical picture

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Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 11))

Abstract

Let F bea non-elementary subgroup of PSL(2, ℝ). The purpose of this paper is to elucidate the nature and the extent of elliptic elements in F.

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References

  1. Gilman, J., Inequalities and discrete subgroups of PSL(2, R) ,Canad. J., to appear.

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  2. Purzitski, N., Two generator discrete free products ,Math. Z. 126 (1972), 209–223.

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  3. Rosenberger, G., Fuchssche Gruppen ,die freies Produkt zweier zyklischer Gruppen sind, und die Gleichung x2 + y2 + z2 = xyz ,Math. Ann. 199 (1972), 213–228.

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  4. Rosenberger, G., All generating pairs of all two-generator Fuchsian groups. Arch. Math. 46 (1986), 198–204.

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  5. Rosenberger, G., On discrete free subgroups of linear groups ,J. London Math. Soc. (2) 17 (1978), 79–85.

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Author information

Authors and Affiliations

  1. Math. Dept., Rutgers University, Newark, NJ, 07102, USA

    Jane Gilman

  2. MSRI, Berkeley, CA, 94720, USA

    Jane Gilman

Authors
  1. Jane Gilman
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Purdue University, West Lafayette, IN, 47909, USA

    D. Drasin

  2. Department of Mathematics, Cornell University, Ithaca, NY, 14853, USA

    C. J. Earle

  3. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA

    F. W. Gehring

  4. Department of Mathematics, State University of New York at Stony Brook, Stony Brook, NY, 11794, USA

    I. Kra

  5. Department of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    A. Marden

  6. Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, CA, 94720, USA

    D. Drasin , C. J. Earle , F. W. Gehring , I. Kra  & A. Marden , , ,  & 

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© 1988 Springer-Verlag New York Inc.

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Gilman, J. (1988). On the existence of elliptics in subgroups of PSL(2, ℝ): A graphical picture. In: Drasin, D., Earle, C.J., Gehring, F.W., Kra, I., Marden, A. (eds) Holomorphic Functions and Moduli II. Mathematical Sciences Research Institute Publications, vol 11. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9611-6_3

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  • DOI: https://doi.org/10.1007/978-1-4613-9611-6_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9613-0

  • Online ISBN: 978-1-4613-9611-6

  • eBook Packages: Springer Book Archive

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