@inproceedings{95247c16a9104960a91655cfccedc168,
title = "Computation schemes for splitting fields of polynomials",
abstract = "In this article, we present new results about the computation of a general shape of a triangular basis generating the splitting ideal of an irreducible polynomial given with the permutation representation of its Galois group G. We provide some theoretical results and a new general algorithm based on the study of the non redundant bases of permutation groups. These new results deeply increase the efficiency of the computation of the splitting field of a polynomial.",
keywords = "Galois theory, Splitting field, Triangular set",
author = "S{\'e}bastien Orange and Gu{\'e}na{\"e}l Renault and Kazuhiro Yokoyama",
year = "2009",
month = dec,
day = "1",
doi = "10.1145/1576702.1576741",
language = "English",
isbn = "9781605586090",
series = "Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC",
pages = "279--286",
booktitle = "ISSAC 2009 - Proceedings of the 2009 International Symposium on Symbolic and Algebraic Computation",
note = "2009 International Symposium on Symbolic and Algebraic Computation, ISSAC 2009 ; Conference date: 28-07-2009 Through 31-07-2009",
}