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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Authors: Heiner Zieschang, Elmar Vogt and Hans-Dieter Coldewey
Title: Surfaces and planar discontinuous groups
Additional book information: Lecture Notes in Math., vol. 835, Springer-Verlag, Berlin, 1980, x + 334 pp., $21.00. ISBN 0-3871-0024-5.

References [Enhancements On Off] (What's this?)

  • 1. R. D. M. Accola, Automorphisms of Riemann surfaces, J. d'Analyse Math. 18 (1967), 1-5. MR 213538
  • 2. Gilbert Baumslag, Some reflections on finitely generated metabelian groups, Combinatorial group theory (College Park, MD, 1988) Contemp. Math., vol. 109, Amer. Math. Soc., Providence, RI, 1990, pp. 1–9. MR 1076371, https://doi.org/10.1090/conm/109/1076371
  • 3. Jane Gilman, On a matrix representation for automorphisms of Riemann surfaces, Linear Algebra and its Applications 17 (1977), 139-147. MR 499135
  • 4. A. Grothendieck and J.-P. Serre, Techniques de contruction en geometrie analytique, Seminaire H. Cartan, Paris, 1960/61. Exp. 7-12 and the Appendix by Serre.
  • 5. A. H. M. Hoare, A. Karrass and D. Solitar, Subgroups of NEC groups, Comm. Pure Appl. Math. 26 (1973), 731-744. MR 335657
  • 6. A. Hurwitz, Algebraische Gebilde mit eindeutigen Transformationen in sick, Math. Ann. 41 (1893), 403-442.
  • 7. R. C. Lyndon and P. E. Schupp, Combinatorial group theory. Ergeb. Math. Grenzgeb. vol. 89, Springer-Verlag, Berlin, 1977. MR 577064
  • 8. A. M. Macbeath, Groups of hyperbolic crystallography, Math. Proc. Cambridge Philos. Soc. 31 (1975), 699-712.
  • 9. A. M. Macbeath, The classification of noneuclidean plane crystallographic groups, Canad. Math. J. 6 (1976), 1192-1205. MR 220838
  • 10. W. Magnus, Noneuclidean tessalations and their groups, Academic Press, New York, (1974). MR 352287
  • 11. W. Magnus, A. Karrass and D. Solitar, Combinatorial group theory, Wiley, New York, 1966.
  • 12. A. Marden, I. Richards and B. Rodin, Analytic self-mappings of Riemann surfaces, J. D'Analyse 18 (1967), 197-225. MR 212182
  • 13. M. C. Wilke, On noneuclidean crystallographic groups, Math. Z. 91 (1966), 87-102.
  • 14. H. Zieschang, E. Vogt and H.-D. Coldeway, Flächen und ebene diskontinuierliche Gruppen, Lecture Notes in Math., vol. 122, Springer-Verlag, Berlin and New York, 1970. MR 262378
  • 15. B. Zimmerman, Eine Verallgemeinerung der Formel von Riemann-Hurwitz, Math. Ann. 229 (1977), 279-288. MR 450420

Review Information:

Reviewer: Jane Gilman
Journal: Bull. Amer. Math. Soc. 9 (1983), 256-259
DOI: https://doi.org/10.1090/S0273-0979-1983-15176-5
American Mathematical Society