Olivier, Michel Corps sextiques primitifs. (Primitive sextic fields). (French) Zbl 0734.11054 Ann. Inst. Fourier 40, No. 4, 757-767 (1990). Nous décrivons quatre tables de corps sextiques primitifs (une par signature). Les tables fournissent pour chaque corps, le discriminant, le groupe de Galois de la clôture galoisienne et un polynome définissant le corps. Reviewer: M.Olivier (Bordeaux) Cited in 1 ReviewCited in 7 Documents MSC: 11R21 Other number fields 11Y40 Algebraic number theory computations 11R29 Class numbers, class groups, discriminants 11-04 Software, source code, etc. for problems pertaining to number theory Keywords:sextic fields; discriminant; defining polynomials; Galois group of Galois closure PDF BibTeX XML Cite \textit{M. Olivier}, Ann. Inst. Fourier 40, No. 4, 757--767 (1990; Zbl 0734.11054) Full Text: DOI Numdam EuDML References: [1] A.-M. BERGÉ, J. MARTINET et M. OLIVIER, The computation of sextic fields with a quadratic subfield, Math. Comp., 54 (1990), 869-884. · Zbl 0709.11056 [2] B. J. BIRCH et W. KUYK, éd., Modular functions of one variable IV, dit “Anvers IV”, Lectures Notes 476 (1975), Springer-Verlag, Heidelberg. · Zbl 0315.14014 [3] A. BRUMER, Exercices diédraux et courbes à multiplications réelles, Actes du Séminaire de théorie des nombres de Paris (1989/1990), Birkhäuser, Boston, à paraître. [4] G. BUTLER and J. MCKAY, The transitive groups of degree up to eleven, Comm. Alg., 11 (1983), 863-911. · Zbl 0518.20003 [5] F. DIAZ Y DIAZ, Discriminant minimal et petits discriminants des corps de nombres de degré 7 avec 5 places réelles, J. London Math. Soc., 38 (1988), 33-46. · Zbl 0653.12003 [6] J. MARTINET, Méthodes géométriques dans la recherche des petits discriminants, Progress in Mathematics, 59 (1985), 147-179, Birkhäuser. · Zbl 0567.12009 [7] M. OLIVIER, The computation of sextic fields with a cubic subfield and no quadratic subfield, Math. Comp. (à paraître). · Zbl 0746.11041 [8] M. POHST, On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields, J. Number Theory, 14 (1982), 99-117. · Zbl 0478.12005 [9] R. P. STAUDUHAR, The determination of Galois groups, Math. Comp., 27 (1973), 981-996. · Zbl 0282.12004 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.