Skip to main content
SpringerLink
Log in

The Riemann-Hurwitz formula for the centralizer of a pair of permutations

  • Published:
Archiv der Mathematik 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. R.Cori, Un code pour les graphes planaires et ses applications. Asterisque27 (1975).

  2. R. Cori, A. Machì, J. G. Penaud andB. Vauquelin, On the automorphism group of a planar hypermap. Eur. J. Combinatorics2, 331–334 (1981).

    Google Scholar 

  3. J. Dénes, The representation of a permutation as a product of a minimal number of transpositions and its connection with the theory of graphs. Publ. Math. Inst. Hung. Acad. Sci.4, 63–71 (1959).

    Google Scholar 

  4. J. Edmonds, A combinatorial representation for polyhedral surfaces. Amer. Mat. Soc. Notices7, 646 (1960).

    Google Scholar 

  5. S. Eilenberg, Sur les transformations périodiques de la surface de la sphère. Fund. Math.22, 28–41 (1934).

    Google Scholar 

  6. A.Hurwitz, Über Riemannsche Flächen mit gegebenen Verzweigungspunkten, Werke I. Basel 1932.

  7. A.Hurwitz, Über algebraische Gebilde mit eindeutigen Transformationen in sich, Werke I. Basel 1932.

  8. A. Jacques, Sur le genre d'une paire de substitutions. C. R. Acad. Sci. Paris267, 625–627 (1968).

    Google Scholar 

  9. R. Ree, A theorem on permutations. J. Comb. Theory10, 174–175 (1971).

    Google Scholar 

  10. J. W. T. Youngs, Minimal Imbeddings and the Genus of a Graph. J. Math. Mech.12, 303–315 (1963).

    Google Scholar 

  11. H.Zassenhaus, The Theory of groups (2nd ed), New York 1958.

Download references

Author information

Author notes

  1. Antonio Machì

    Present address: Istituto Matematico „G. Castelnuovo“, Universitá di Roma, 00100, Roma, Italy

Authors and Affiliations

    Authors
    1. Antonio Machì
      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

    Machì, A. The Riemann-Hurwitz formula for the centralizer of a pair of permutations. Arch. Math 42, 280–288 (1984). https://doi.org/10.1007/BF01191186

    Download citation

    • Received:

    • Revised:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01191186

    Search

    Navigation