On classification of cyclic orientation-reversing actions of big order on closed surfaces

• G. Gromadzki ^[2] ; B. Szepietowski ^[2] ; X. Zhao ^[1]
  1. [1] Capital Normal University

     Capital Normal University

     China

     
  2. [2] Gdańsk University, Poland
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 1 (January 2016), 2016, págs. 465-481
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.07.004
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• Referencias bibliográficas
  • E. Bujalance, F.J. Cirre, M.D.E. Conder, B. Szepietowski, Finite group actions on bordered surfaces of small genus, J. Pure Appl. Algebra...
  • E. Bujalance, J.J. Etayo, J.M. Gamboa, G. Gromadzki, Automorphisms Groups of Compact Bordered Klein Surfaces. A Combinatorial Approach, Lecture...
  • A.F. Costa, M. Izquierdo, On the existence of connected components of dimension one in the branch locus of moduli spaces of Riemann surfaces,...
  • C. Bagiński, M. Carvacho, G. Gromadzki, R. Hidalgo, On periodic self-homeomorphisms of closed orientable surfaces determined by their orders,...
  • J.J. Etayo Gordejuela, Nonorientable automorphisms of Riemann surfaces, Arch. Math. (Basel) 45 (4) (1985) 374–384.
  • G. Gromadzki, B. Szepietowski, On topological type of periodic self-homeomorphisms of closed non-orientable surfaces, Rev. R. Acad. Cienc....
  • W.J. Harvey, Cyclic groups of automorphisms of a compact Riemann surface, Quart. J. Math. Oxford, Ser. (2) 17 (1966) 86–97.
  • S. Hirose, On periodic maps over surfaces with large periods, Tohoku Math. J. 62 (1) (2010) 45–53.
  • A. Hurwitz, Über Riemannsche Fläschen mit gegebenen Verzweigungspunkten, Math. Ann. 39 (1891) 1–61. Jbuch 23 (1891) 429–430.
  • B. Kerejarto, Vorlesungen über Topologie. I. Flächentopologie, Springer-Verlag, 1923.
  • M. Korkmaz, Mapping class groups of nonorientable surfaces, Geom. Dedic. 89 (2002) 107–131.
  • R.S. Kulkarni, Isolated points in the branch locus of the moduli space of compact Riemann surfaces, Ann. Acad. Sci. Fenn., Ser. A 1 Math....
  • R.S. Kulkarni, Riemann surfaces admitting large automorphism groups, in: Extremal Riemann Surfaces, San Francisco, CA, 1995, in: Contemp....
  • J. Nielsen, Die Struktur periodischer Transformationen von Flächen, Math.-Fys. Medd. Danske Vid. Selsk 15 (1) (1937), English transl. in Jakob...
  • D. Singerman, On the structure of non-euclidean crystallographic groups, Proc. Camb. Philol. Soc. 76 (1974) 233–240.
  • S. Wang, Maximum orders of periodic maps on closed surfaces, Topol. Appl. 41 (1991) 255–262.
  • A. Wiman. Über die hyperelliptischen Curven und diejenigen vom Geschlechte p =3, welche eindeutigen Transformationen in sich zulassen,...