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Number Fields with Discriminant ±2a3b and Galois Group An or Sn

Published online by Cambridge University Press:  01 February 2010

Gunter Malle  and
David P. Roberts
Gunter Malle
Affiliation:
Fachbereich Mathematik, TU Kaiserslautern, Erwin-Schrödinger-Strasse, D-67663 Kaiserslautern Germany, malle@mathematik.uni-kl.de, http://www.mathematik.uni-kl.de/~malle/
David P. Roberts
Affiliation:
Division of Science and Mathematics, University of Minnesota-Morris, Morris, Minnesota, 56267, USA, roberts@morris.umn.edu, http://cda.morris.umn.edu/~roberts/

Abstract

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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.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 8 , 2005 , pp. 80 - 101
Copyright
Copyright © London Mathematical Society 2005

References

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