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arxiv: 1708.07184 · v2 · pith:TXFKIPF6new · submitted 2017-08-23 · 🧮 math.NT

A family of cyclic quartic fields with explicit fundamental units

classification 🧮 math.NT
keywords cyclicfamilyfundamentalpolynomialsquarticunitsconstructexplicit
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We construct a family of quartic polynomials with cyclic Galois group and show that the roots of the polynomials are fundamental units or generate a subgroup of index 5.

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