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2001 Power Integral Bases in Cubic Relative Expansions
István Gaál
Experiment. Math. 10(1): 133-139 (2001).

Abstract

We give an efficient algorithm for computing relative power integral bases in cubic relative extensions. The problem leads to solving relative Thue equations as described by [Gaál and Pohst 1999] using the enumeration method of [Wildanger 1997]. The article is illustrated by examples of relative cubic extensions of quintic and sextic fields which emphasizes the power of the method. This is the first case that unit equations of 12 unknown exponents are completely solved. The experiences of our computations may be useful for other related calculations, as well.

Citation

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István Gaál. "Power Integral Bases in Cubic Relative Expansions." Experiment. Math. 10 (1) 133 - 139, 2001.

Information

Published: 2001
First available in Project Euclid: 30 August 2001

zbMATH: 1014.11080
MathSciNet: MR1 822 859

Subjects:
Primary: 11Rxx

Rights: Copyright © 2001 A K Peters, Ltd.

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Vol.10 • No. 1 • 2001
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