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Original Articles

A GAP Package for Braid Orbit Computation and Applications

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Pages 385-393 | Published online: 05 Apr 2012

REFERENCES

  • Bailey , P. and Fried , M. 2002 . “Hurwitz Mon-odromy, Spin Separation and Higher Levels of a Modular Tower.” . Proceedings of Symposia in Pure Math. , 70 : 79 – 220 . [Bailey and Fried 02]
  • Breuer , Th. 2000 . Characters and Automorphism Groups of Compact Riemann Surfaces Cambridge , , UK : Cambridge Univ. Press. . [Breuer 00], London Math. Soc. Lect. Notes, 280
  • Debes , P. and Fried , M. 1999 . “Integral Specialization of Families of Rational Functions.” . Pacific J. Math. , 190 : 45 – 85 . [Debes and Fried 99]
  • Dettweiler , M. 1999 . “Kurven auf Hurwitzraumen und ihre Anwendungen in der Galoistheorie.” , PhD diss. Erlangen [Dettweiler 99]
  • Fried , M. and Guralnick , R. 1990 . “On Uniformization of Generic Curves of Genus g > 6 by Radicals.” [Fried and Guralnick 90], Unpublished manuscript
  • Fried , M. and Volklein , H. 1991 . “The Inverse Galois Problem and Rational Points on Moduli Spaces.” . Math. Annalen , 290 : 771 – 800 . [Fried and Völklein 91]
  • Frohardt , D. , Guralnick , R. and Magaard , K. 2002 . “Genus Zero Actions of Groups of Lie Rank 1.” . Proc. Symp. Pure Math. , 70 : 449 – 483 . [Frohardt et al. 02]
  • Frohardt , D. , Guralnick , R. and Magaard , K. 2003 . “The Primitive Genus Zero Systems Involving Non-alternating, Nonabelian Simple Groups.” [Frohardt et al. 03], Preprint
  • Frohardt , D. and Magaard , K. 2001 . “Composition Factors of Monodromy Groups.” . Annals of Math. , 154 : 1 – 19 . [Frohardt and Magaard 01]
  • The GAP Group . 2000 . GAP—Groups, Algorithms, and Programming, , Version 4.2 [GAP4 00], Available from World Wide Web http://www.gap-system.org
  • Granboulan , L. 1996 . “Construction d'une extension régulière de Q(t) de groupe de Galois MM24.” . Exp. Math. , 5 : 3 – 14 . [Granboulan 96]
  • Guralnick , R. and Magaard , K. 1998 . “On the Minimal Degree of a Primitive Permutation Group.” . J. Algebra , 207 : 127 – 145 . [Guralnick and Magaard 98]
  • Guralnick , R. and Neubauer , M. 1995 . “Monodromy Groups and Branched Coverings: The Generic Case.” . Contemp. Math. , 186 : 325 – 352 . [Guralnick and Neubauer 95]
  • Guralnick , R. and Shareshian , J. 2003 . “Alternating and Symmetric Groups as Monodromy Groups of Curves I.” [Guralnick and Shareshian 03], Preprint
  • Magaard , K. , Shpectorov , S. and Völklein , H. 2002 . “The Locus of Curves with Prescribed Automorphism Group.” . In Communications in Arithmetic Fundamental Groups, Proceedings of the RIMS workshop held at Kyoto University Oct. 01 112 – 141 . Kyoto : Kyoto Univ. Research Inst, for Math. Sciences. . [Magaard et al. 02]
  • Magaard , K. and Volklein , H. 2003 . “The Monodromy Group of a Function on a General Curve.” . Israel Journal of Math. , [Magaard and Völklein 03], To appear in
  • Malle , G. 2000 . “Multi-Parameter Polynomials with Given Galois Group.” . J. Symb. Comp. , 30 : 717 – 731 . [Malle 00]
  • Malle , G. and Matzat , B. H. 1999 . Inverse Galois Theory. Berlin-Heidelberg-New York : Springer-Verlag. . [Malle and Matzat 99]
  • 2000 . Maple 6. Waterloo : Waterloo Maple Inc. . [Maple 00]
  • Neubauer , M. 1993 . “On Primitive Monodromy Groups of Genus 0 and 1.” . Comm. Alg. , 21 : 711 – 746 . [Neubauer 93]
  • Neubauer , M. 1992 . “On Monodromy Groups of Fixed Genus.” . J. Algebra , 153 : 215 – 261 . [Neubauer 92]
  • Przywara , B. 1998 . Braid Operation Software Package, 2.0 [Przywara 98], Available from World Wide Web http://www.iwr.uni-heidelberg.de/ftp/pub/ho
  • Thompson , J. 1994 . “Note on H(4).” . Comm. Alg. , 22 : 5683 – 5687 . [Thompson 94]
  • Thompson , J. and Völklein , H. 1998 . “Symplectic Groups as Galois Groups.” . J. Group Theory , 1 : 1 – 58 . [Thompson and Völklein 98]
  • Völklein , H. 1996 . Groups as Galois Groups—An Introduction Cambridge , , UK : Cambridge Univ. Press. . [Völklein 96], Cambr. Studies in Adv. Math., 53
  • Völklein , H. 1994 . “Moduli Spaces for Covers of the Riemann Sphere.” . Israel J. Math. , 85 : 407 – 430 . [Völklein 94]

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