Nonsolvable number fields ramified only at 3 and 5

Details Nonsolvable number fields ramified only at 3 and 5 Nonsolvable number fields ramified only at 3 and 5

2009-06-24

arxiv.org/abs/0906.4374v2

Mathematics

Number Theory

18 pages; revised to incorporate referee's suggestions

Scientific paper

For p = 3 and p = 5, we exhibit a finite nonsolvable extension of the
rational numbers which is ramified only at p via explicit computations with
Hilbert modular forms.

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