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Power Integral Bases in Composits of Number Fields

Published online by Cambridge University Press:  20 November 2018

István Gaál
István Gaál*
Affiliation:
Kossuth Lajos University Mathematical Institute H-4010 Debrecen Pf.12. Hungary, e-mail: [email protected]
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Abstract

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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.

Keywords

11D57:11R21
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 2 , 01 June 1998 , pp. 158 - 165
Copyright
Copyright © Canadian Mathematical Society 1998

References

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