A non-solvable Galois extension of Q ramified at 2 only
نویسنده
چکیده
In this paper, we show the existence of a non-solvable Galois extension of Q which is unramified outside 2. The extension K we construct has degree 2251731094732800 = 2(3 · 5 · 17 · 257) and has root discriminant δK < 2 47 8 = 58.68..., and is totally complex.
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