Skip to main content
SpringerLink
Log in

On the structure of the automorphism group of a compact Klein surface withN boundary components (1≦N≦4)

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Alling, N.L., Greenleaf, N.: Foundations of the theory of Klein surfaces. In: Lecture Notes in Mathematics, Vol. 219. Berlin, Heidelberg, New York Springer 1971

    Google Scholar 

  2. Alling, N.L.: Real elliptic curves. Notes of Mathematics, Vol. 54. Amsterdam: North-Holland 1981

    Google Scholar 

  3. Bujalance, E., Gamboa, J.M.: Automorphisms groups of algebraic curves of ℝn of genus 2. To appear in Archiv der Math

  4. Macbeath, A.M.: The classification of non-Euclidean plane crystallographic groups. Can. J. Math.19, 1192–1205 (1967)

    Google Scholar 

  5. Macbeath, A.M., Singerman, D.: Space of subgroups and Teichmüller spaces. Proc. London Math. Soc. (3)31, 211–256 (1975)

    Google Scholar 

  6. Maclachlan, C.: Note on the Hurwitz-Nielsen realisation problem. Proc. Am. Math. Soc.64, 78–90 (1977)

    Google Scholar 

  7. May, C.L.: Large automorphism groups of compact klein surfaces with boundary. Glasgow Math. J.18, 1–10 (1977)

    Google Scholar 

  8. May, C.L.: Cyclic automorphism groups of compact bordered Klein surfaces. Houston J. Math.3, 395–405 (1977)

    Google Scholar 

  9. Preston, R.: Projective structures and fundamental domains on compact Klein surfaces. Ph. D. Thesis. Univ. of Texas 1975

  10. Singerman, D.: On the structure of non-Euclidean crystallographic groups. Proc. Camb. Philos. Soc.76, 233–240 (1974)

    Google Scholar 

  11. Singerman, D.: Automorphisms of compact non-orientable Riemann surfaces. Glasgow Math. J.12, 50–59 (1971)

    Google Scholar 

  12. Smith, P.A.: A theorem on fixed points for periodic transformations. Ann. Math.35, 572–578 (1934)

    Google Scholar 

  13. Wilkie, M.C.: On non-Euclidean crystallographic groups. Math. Z.91, 87–102 (1966)

    Google Scholar 

  14. Zieschang, H.: Finite groups of mapping classes of surfaces. Lecture Notes in Mathematics, Vol. 875, Berlin, Heidelberg, New York: Springer 1981

    Google Scholar 

  15. Zieschang, H., Vogt, E., Goldewey, H.D.: Surface and planer discontinuous groups. Lecture Notes in Mathematics, Vol. 835. Berlin, Heidelberg, New York: Springer 1980

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Matematicas Fundamentales, Facultad de Ciencias (UNED), Madrid 3, Spain

    E. Bujalance

Authors
  1. E. Bujalance
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bujalance, E. On the structure of the automorphism group of a compact Klein surface withN boundary components (1≦N≦4). Math. Ann. 270, 29–34 (1985). https://doi.org/10.1007/BF01455525

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01455525

Keywords

Search

Navigation