Geodesic
Power Integral Bases in Composits of Number Fields
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 158-165

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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.
DOI : 10.4153/CMB-1998-025-3
Mots-clés : 11D57:, 11R21 
Gaál, István. Power Integral Bases in Composits of Number Fields. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 158-165. doi: 10.4153/CMB-1998-025-3
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     title = {Power {Integral} {Bases} in {Composits} of {Number} {Fields}},
     journal = {Canadian mathematical bulletin},
     pages = {158--165},
     year = {1998},
     volume = {41},
     number = {2},
     doi = {10.4153/CMB-1998-025-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-025-3/}
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