Complex doubles of bordered Klein surfaces with maximal symmetry
Glasgow mathematical journal, Tome 33 (1991) no. 1, pp. 61-71

Voir la notice de l'article provenant de la source Cambridge University Press

A compact bordered Klein surface X of algebraic genus g ≥ 2 has maximal symmetry [6] if its automorphism group A(X) is of order 12(g — 1), the largest possible. The bordered surfaces with maximal symmetry are clearly of special interest and have been studied in several recent papers ([6] and [9] among others).
May, Coy L. Complex doubles of bordered Klein surfaces with maximal symmetry. Glasgow mathematical journal, Tome 33 (1991) no. 1, pp. 61-71. doi: 10.1017/S0017089500008041
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[1] 1.Alling, N. L. and Greenleaf, N., Foundations of the theory of Klein surfaces, Lecture Notes in Mathematics Vol. 219 (Springer-Verlag, 1971). Google Scholar | DOI

[2] 2.Bujalance, E., Normal N.E.C. signatures, Illinois J. Math. 26 (1982), 519–530. Google Scholar | DOI

[3] 3.Bujalance, E. and Singerman, D., The symmetry type of a Riemann surface, Proc. London Math. Soc. (3) 51 (1985), 501–519. Google Scholar | DOI

[4] 4.Coxeter, H. S. M. and Moser, W. O. J., Generators and relations for discrete groups, 3rd ed., Ergebnisse der Mathematik und ihrer Grenzgebiete Band 14 (Springer-Verlag, 1972). Google Scholar

[5] 5.Garbe, D., Uber die regularen Zerlegungen geschlossener orientierbarer Flachen, J. Reine Angew. Math. 237 (1969), 39–55. Google Scholar

[6] 6.Greenleaf, N. and May, C. L., Bordered Klein surfaces with maximal symmetry, Trans. Atner. Math. Soc. 274 (1982), 265–283. Google Scholar | DOI

[7] 7.Macbeath, A. M., The classification of non-Euclidean plane crystallographic groups, Canad. J. Math. 19 (1966), 1192–1205. Google Scholar | DOI

[8] 8.May, C. L., Large automorphism groups of compact Klein surfaces with boundary, Glasgow Math. J. 18 (1977), 1–10. Google Scholar | DOI

[9] 9.May, C. L., The species of bordered Klein surfaces with maximal symmetry of low genus, Pacific J. Math. 111 (1984), 371–394. Google Scholar | DOI

[10] 10.Rose, J. S., A course on group theory (Cambridge University Press, 1978). Google Scholar

[11] 11.Sah, C. H., Groups related to compact Riemann surfaces, Ada Math. 123 (1969), 13–42. Google Scholar

[12] 12.Sherk, F. A., The regular maps on a surface of genus three, Canad. J. Math. 11 (1959), 452–480. Google Scholar | DOI

[13] 13.Singerman, D., On the structure of non-Euclidean crystallographic groups, Proc. Cambridge Philos. Soc. 76 (1974), 233–240. Google Scholar | DOI

[14] 14.Singerman, D., Finitely maximal Fuchsian groups, J. London Math. Soc. (2) 6 (1972), 29–38. Google Scholar | DOI

[15] 15.Singerman, D., Symmetries of Riemann surfaces with large automorphism group, Math. Ann. 210 (1974), 17–32. Google Scholar | DOI

[16] 16.Singerman, D., private communication, 1988. Google Scholar

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