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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, Review of combinatorial group theory by Magnus, Karrass and Solitar, Bull. Amer. Math. Soc. (N.S.) 1 (1979), 950-953. MR 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