Number fields with discriminant +-2^a 3^b: Examples from three point covers

Details Number fields with discriminant +-2^a 3^b: Examples from three point covers Number fields with discriminant +-2^a 3^b: Examples from three point covers

1998-10-27

arxiv.org/abs/math/9810210v1

Mathematics

Number Theory

Scientific paper

In this paper we construct number fields ramified at 2 and 3 only, with various moderate-sized non-solvable Galois groups. We construct these fields by specializing three point covers, some from the literature and some new here. The specialization points come from solutions to a generalized Fermat equation. We conclude with a specific suggestion for further research and two general conjectures.

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