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Computing Galois groups | ||
International Journal of Group Theory | ||
مقاله 3، دوره 13، شماره 3، آذر 2024، صفحه 241-250 اصل مقاله (405.06 K) | ||
نوع مقاله: 2022 CCGTA IN SOUTH FLA | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2023.136401.1825 | ||
نویسنده | ||
Andreas-Stephan Elsenhans* | ||
Department of Mathematics, University of Würzburg, Würzburg, Germany | ||
چکیده | ||
The determination of a Galois group is an important question in computational algebraic number theory. One approach is based on the inspection of resolvents. This article reports on this method and on the performance of the current magma [W. Bosma, J. Cannon and C. Playoust, The Magma algebra system. I. The user language, J. Symbolic Comput., 24 (1997) 235--265]. implementation. | ||
کلیدواژهها | ||
Galois group؛ Resolvent؛ Numberfield | ||
مراجع | ||
[1] W. Bosma, J. Cannon and C. Playoust, The Magma algebra system. I. The user language, J. Symbolic Comput., 24 (1997) 235 – 265. [3] J. Cannon and D. Holt, Computing maximal subgroups of finite groups, J. Symbolic Comput., 37 (2004) 589 – 609. [13] W. Hart, M. van Hoeij and A. Novocin, Practical polynomial factoring in polynomial time, ISSAC 2011–Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, New York, 2011 163 – 170.
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