Alexander Hulpke
Abstract
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We describe an algorithm to compute subfields of an algebraic number field as block systems of its Galois group. It relies only on symbolic computations and avoids numerical approximations.
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We describe an algorithm to compute subfields of an algebraic number field as block systems of its Galois group. It relies only on symbolic computations and avoids numerical approximations.
Key concepts: Mathematics, Galois group, Block (permutation group theory), Group (periodic table), Arithmetic, Galois module, Fundamental theorem of Galois theory, Galois extension