The LMS JCM, (8) 80-101. Published 07 Apr 2005. First received 28 Jul 2004.


Number fields with discriminant ±2a3b and Galois group An or Sn

Gunter Malle and David P. Roberts



Abstract: The authors present three-point and four-point covers having bad reduction at 2 and 3 only, with Galois group An or Sn for n equal to 9, 10, 12, 18, 28, and 33. By specializing these covers, they obtain number fields ramified at 2 and 3 only, with Galois group An or Sn for n equal to 9, 10, 11, 12, 17, 18, 25, 28, 30, and 33.

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