Computation of Galois Groups in magma

Andreas-Stephan Elsenhans ()
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Andreas-Stephan Elsenhans: Universität Paderborn, Mathematisches Institut

A chapter in Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 2016, pp 621-628 from Springer

Abstract: Abstract We give an outline of a degree independent algorithm for the computation of Galois groups, as it is implemented in magma (van der Waerden BM, Algebra 1, Springer, Berlin 1960) (version 2.21). Further, we summarize several performance tests and list hard examples.

Keywords: Galois Group; Resolvent Polynomial; Frobenius Element; Algorithmic Proof; Frobenius Frob (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30379-6_56

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DOI: 10.1007/978-3-319-30379-6_56

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