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# Power integral bases in composits of number fields

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Published:1998-06-01
Printed: Jun 1998
• István Gaál
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## Abstract

In the present paper we consider the problem of finding power integral bases in number fields which are composits of two subfields with coprime discriminants. Especially, we consider imaginary quadratic extensions of totally real cyclic number fields of prime degree. As an example we solve the index form equation completely in a two parametric family of fields of degree $10$ of this type.
 MSC Classifications: 11D57 - Multiplicative and norm form equations 11R21 - Other number fields

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