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Power integral bases in composits of number fields

  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, 11R21 show english descriptions Multiplicative and norm form equations
Other number fields
11D57 - Multiplicative and norm form equations
11R21 - Other number fields
 

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