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ALGORITHMS FOR GALOIS EXTENSIONS OF GLOBAL FUNCTION FIELDS

Published online by Cambridge University Press:  17 February 2016

NICOLE SUTHERLAND*
Affiliation:
Computational Algebra Group, School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia email nicole.j.sutherland@bigpond.com
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Abstract

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Type
Abstracts of Australasian PhD Theses
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

References

Cannon, J. J., Bosma, W., Fieker, C. and Steel, A. (eds.), Handbook of Magma Functions (V2.20) (Computational Algebra Group, University of Sydney, 2013), http://magma.maths.usyd.edu.au, 2013.Google Scholar
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Ducet, V. and Fieker, C., ‘Computing equations of curves with many points’, in: ANTS X: Proceedings of the Tenth Algorithmic Number Theory Symposium, OBS (eds. Howe, E. and Kedlaya, K.) (Mathematical Sciences Publishers, Berkeley, 2012).Google Scholar
Fieker, C. and Klüners, J., ‘Computation of Galois groups of rational polynomials’, London Math. Soc. J. Comput. Math. 17(1) (2014), 141158.Google Scholar
Fraatz, R., Computation of Maximal Orders of Cyclic Extensions of Function Fields, PhD Thesis, Technische Universität Berlin, 2005.Google Scholar
Pohst, M., ‘In memoriam: Hans Zassenhaus’, J. Number Theory 47 (1994), 119.CrossRefGoogle Scholar
Stauduhar, R. P., ‘The determination of Galois groups’, Math. Comput. 27 (1973), 981996.CrossRefGoogle Scholar
Sutherland, N., ‘Efficient computation of maximal orders in radical (including Kummer) extensions’, J. Symbolic Comput. 47 (2012), 552567.CrossRefGoogle Scholar
Sutherland, N., ‘Efficient computation of maximal orders in Artin–Schreier extensions’, J. Symbolic Comput. 53 (2013), 2639.CrossRefGoogle Scholar
Sutherland, N., ‘Efficient computation of maximal orders in Artin–Schreier–Witt extensions’, J. Symbolic Comput., in revision.Google Scholar
Sutherland, N., ‘Computing Galois groups of polynomials (especially over function fields of prime characteristic)’, J. Symbolic Comput. 71 (2015), 7397.CrossRefGoogle Scholar
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ALGORITHMS FOR GALOIS EXTENSIONS OF GLOBAL FUNCTION FIELDS
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