Bulletin of the American Mathematical Society

MathSciNet review: 1567455
Full text of review: PDF   This review is available free of charge.
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.

Robert D. M. Accola, Automorphisms of Riemann surfaces, J. Analyse Math. 18 (1967), 1–5. MR 213538, DOI 10.1007/BF02798030

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, DOI 10.1090/conm/109/1076371

Jane Gilman, A matrix representation for automorphisms of compact Riemann surfaces, Linear Algebra Appl. 17 (1977), no. 2, 139–147. MR 499135, DOI 10.1016/0024-3795(77)90034-9

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.

A. H. M. Hoare, A. Karrass, and D. Solitar, Subgroups of $\textrm {NEC}$ groups, Comm. Pure Appl. Math. 26 (1973), 731–744. Collection of articles dedicated to Wilhelm Magnus. MR 335657, DOI 10.1002/cpa.3160260515

6.

A. Hurwitz, Algebraische Gebilde mit eindeutigen Transformationen in sick, Math. Ann. 41 (1893), 403-442.

Roger C. Lyndon and Paul E. Schupp, Combinatorial group theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 89, Springer-Verlag, Berlin-New York, 1977. MR 0577064

8.

A. M. Macbeath, Groups of hyperbolic crystallography, Math. Proc. Cambridge Philos. Soc. 31 (1975), 699-712.

A. M. Macbeath, The classification of non-euclidean plane crystallographic groups, Canadian J. Math. 19 (1967), 1192–1205. MR 220838, DOI 10.4153/CJM-1967-108-5

Wilhelm Magnus, Noneuclidean tesselations and their groups, Pure and Applied Mathematics, Vol. 61, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1974. MR 0352287

11.

W. Magnus, A. Karrass and D. Solitar, Combinatorial group theory, Wiley, New York, 1966.

A. Marden, I. Richards, and B. Rodin, Analytic self-mappings of Riemann surfaces, J. Analyse Math. 18 (1967), 197–225. MR 212182, DOI 10.1007/BF02798045

13.

M. C. Wilke, On noneuclidean crystallographic groups, Math. Z. 91 (1966), 87-102.

H. Zieschang, E. Vogt, and H.-D. Coldewey, Flächen und ebene diskontinuierliche Gruppen, Lecture Notes in Mathematics, Vol. 122, Springer-Verlag, Berlin-New York, 1970 (German). MR 0262378

Bruno Zimmermann, Eine Verallgemeinerung der Formel von Riemann-Hurwitz, Math. Ann. 229 (1977), no. 3, 279–288 (German). MR 450420, DOI 10.1007/BF01391473

1.

R. D. M. Accola, Automorphisms of Riemann surfaces, J. d'Analyse Math. 18 (1967), 1-5. MR 0213538

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