Titlebook: Diophantine Equations and Power Integral Bases; Theory and Algorithm István Gaál Book 2019Latest edition Springer Nature Switzerland AG 201

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Sextic Fields,e show some interesting applications of the results of Sect. . on composite fields. We close the chapter by investigating power integral bases in the infinite parametric family of simplest sextic fields (Sect. 11.5).

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Quartic Relative Extensions,nsions of imaginary quadratic fields. Then the calculation is easier and we obtain results on a wider class of number fields. In Sect. . we consider relative and absolute power integral bases of pure quartic extensions of imaginary quadratic fields..In Sect. . we consider monogenity in there infinit

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