## On the group of units of number fields of degree 2 and 4. (Sur le groupe des unités de corps de nombres de degré 2 et 4.)(French. English summary)Zbl 1196.11150

Summary: We give under certain hypotheses, a fundamental system of units of the field $$K=\mathbb Q(\omega)$$ and its quadratic subfield, where $$\omega$$ is a root of the polynomial $$f(X)=X^4 +d^{-2} M_6 X^2 -M_4$$, with $$M_6 =D^6 +6D^4 d+9D^2 d^2 +2d^3$$, $$M_4 =D^4 +4D^2 d+2d^2$$, $$d, D\in\mathbb N$$, $$d\mid D$$.

### MSC:

 11R27 Units and factorization 11R11 Quadratic extensions 11R16 Cubic and quartic extensions 11R04 Algebraic numbers; rings of algebraic integers
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### References:

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