Analysis

Riemann Surfaces

30Fxx

  1. Alin Bostan, Manuel Kauers, and Mark van Hoeij, The complete generating function for Gessel walks is algebraic, Proc. Amer. Math. Soc. 138 (2010), no. 9, 3063–3078.
  2. E. Bujalance, F. J. Cirre, M. D. E. Conder, and B. Szepietowski, Finite group actions on bordered surfaces of small genus, J. Pure Appl. Algebra 214 (2010), no. 12, 2165–2185.[MR/doi]
  3. E. Bujalance, Marston Conder, J. M. Gamboa, G. Gromadzki, and M. Izquierdo, Double coverings of Klein surfaces by a given Riemann surface, J. Pure Appl. Algebra 169 (2002), no. 2-3, 137–151.[MR]
  4. Emilio Bujalance, F. J. Cirre, and Marston Conder, On extendability of group actions on compact Riemann surfaces, Trans. Amer. Math. Soc. 355 (2003), no. 4, 1537–1557 (electronic).[MR]
  5. Emilio Bujalance and Marston Conder, On cyclic groups of automorphisms of Riemann surfaces, J. London Math. Soc. (2) 59 (1999), no. 2, 573–584.[MR]
  6. Jason Callahan, Jorgensen number and arithmeticity, Conform. Geom. Dyn 13 (2009), 160–186.[arXiv]
  7. Jason Todd Callahan, The arithmetic and geometry of two-generator Kleinian groups, PhD Thesis, University of Texas at Austin, 2009.[link]
  8. Marston Conder, The genus of compact Riemann surfaces with maximal automorphism group, J. Algebra 108 (1987), no. 1, 204–247.[MR]
  9. Marston Conder, Maximal automorphism groups of symmetric Riemann surfaces with small genus, J. Algebra 114 (1988), no. 1, 16–28.[MR]
  10. Marston Conder, Hurwitz groups: a brief survey, Bull. Amer. Math. Soc. (N.S.) 23 (1990), no. 2, 359–370.[MR]
  11. Marston Conder, C. Maclachlan, G. J. Martin, and E. A. O'Brien, 2-generator arithmetic Kleinian groups. III, Math. Scand. 90 (2002), no. 2, 161–179.[MR]
  12. Marston Conder and Gaven J. Martin, Cusps, triangle groups and hyperbolic 3-folds, J. Austral. Math. Soc. Ser. A 55 (1993), no. 2, 149–182.[MR]
  13. Robert Guralnick and John Shareshian, Symmetric and alternating groups as monodromy groups of Riemann surfaces. I. Generic covers and covers with many branch points, Mem. Amer. Math. Soc. 189 (2007), no. 886, vi+128.[MR]
  14. Stephen P. Humphries, Action of braid groups on determinantal ideals, compact spaces and a stratification of Teichmüller space, Invent. Math. 144 (2001), no. 3, 451–505.[MR/link]
  15. Sadok Kallel and Denis Sjerve, On the group of automorphisms of cyclic covers of the Riemann sphere, Math. Proc. Cambridge Philos. Soc. 138 (2005), no. 2, 267–287.[MR]
  16. C. Maclachlan and G. J. Martin, The non-compact arithmetic generalised triangle groups, Topology 40 (2001), no. 5, 927–944.[MR]
  17. Coy L. May, The real genus of 2-groups, J. Algebra Appl. 6 (2007), no. 1, 103–118.[MR]
  18. Reza Zomorrodian, On a theorem of supersoluble automorphism groups, Proc. Amer. Math. Soc. 131 (2003), no. 9, 2711–2713 (electronic).[MR]