101
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Matrix Classes Realized by Automorphisms of Compact Riemann Surfaces of Genus Two

Pages 2343-2357 | Received 06 Jun 2009, Published online: 09 Jul 2012

REFERENCES

  • Aigon , A. ( 2001 ). Transformations Hyperboliques et Courbes Algébriques en Genres 2 et 3. Ph.D. thesis. Johns Hopkins University Press .
  • Bolze , O. ( 1887 ). On Binary Sextics with Linear Transformations in Themselves .
  • Eckmann , B. , Müller , H. ( 1982 ). Plane motion groups and virtual poincaré duality of dimension two . Invent. Math. 69 : 293 – 310 .
  • Farkas , H. M. , Kra , I. ( 1992 ). Riemann Surfaces. , 2nd ed. Graduate Texts in Mathematics . Vol. 71 . New York : Springer Verlag .
  • Gabai , D. ( 1992 ). Convergence groups are fuchsian groups . Ann. Math. 136 : 447 – 510 .
  • Harvey , W. J. ( 1966 ). On cyclic groups of automorphisms of compact riemann surfaces . Quart. J. Math. Oxford 17 ( 2 ): 86 – 97 .
  • Harvey , W. J. ( 1977 ). Discrete Groups and Automorphic Functions . New York : Academic Press .
  • Jones , G. , Singerman , D. ( 1987 ). Complex Functions . Cambridge : Cambridge University Press .
  • Kerckhoff , S. P. ( 1983 ). The Nielsen realization problem . Ann. Math. 117 : 235 – 265 .
  • MacBeath , A. M. ( 1973 ). Action of automorphism of a compact riemann surface on the firhomology group . Bull. London Math. Soc. 5 : 103 – 108 .
  • Nielsen , J. ( 1943 ). Abbildungklassen endliche ordung . Acta Math. 75 : 23 – 115 .
  • Sjerve , D. , Yang , Q. ( 1997 ). Conjugacy Classes of p-torsion in SP p−1(ℤ) . J. Algebra 195 ( 2 ): 580 – 603 .
  • Vick , J. W. ( 1973 ). Homology Theory . New York : Academic Press .
  • Wiman , A. ( 1985/1986 ). Über die hyperelliptischen Kurven und diejenigen vom Geschlecht p = 3, welche eindeutigen transformationen in sich zulassen . Bihang Till. Kongl. Svenska Vetenskaps Akademiens Handlingar, bd. 21 : 1 – 23 .
  • Yang , Q. ( 2008 ). Conjugacy classes of torsion in 4 × 4 integral symplectic group . J. Math. Research & Exposition 28 ( 1 ): 177 – 191 .
  • Communicated by J. Zhang.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.