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.

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Correspondence to Andreas-Stephan Elsenhans .

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Elsenhans, AS. (2016). Computation of Galois Groups in magma. In: Bélair, J., Frigaard, I., Kunze, H., Makarov, R., Melnik, R., Spiteri, R. (eds) Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-30379-6_56

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