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arxiv: 1904.07062 · v1 · pith:YSPCLQX5new · submitted 2019-04-15 · 🧮 math.NT

Infinite class field towers of number fields of prime power discriminant

classification 🧮 math.NT
keywords fieldnumberclassinfiniteprimediscriminanteveryexistence
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For every prime number p, we show the existence of a solvable number field L ramified only at {p and infinity whose p-Hilbert Class field tower is infinite.

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