Gröbner basis of the alternating galoisian ideal |
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| Authors: | Annick Valibouze |
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| Affiliation: | LIP6, UPMC-Paris 6, 4, place Jussieu, 75252 Paris Cedex 05, France |
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| Abstract: | This article proposes an efficient and simple algebraic method of computation of a Gröbner basis generating the alternating galoisian ideal of a univariate separable polynomial. We named this method “the descent of the Vandermonde determinants”. |
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| Keywords: | Galois group Galoisian ideal Triangular ideal Splitting field Alternating group |
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