Computing Pro-P galois groups

  • Authors:

  • Nigel Boston;Harris Nover

  • Affiliations:

  • Department of Mathematics, University of Wisconsin, Madison, WI;Department of Mathematics, University of Wisconsin, Madison, WI

  • Venue:
  • ANTS'06 Proceedings of the 7th international conference on Algorithmic Number Theory
  • Year:
  • 2006

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Abstract

We describe methods for explicit computation of Galois groups of certain tamely ramified p-extensions. In the finite case this yields a short list of candidates for the Galois group. In the infinite case it produces a family or few families of likely candidates.