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CM-fields and skew-symmetric matrices

Bayer-Fluckiger, Eva ; Berhuy, Grégory ; Chuard-Koulmann, Pascale

In: manuscripta mathematica, 2004, vol. 114, no. 3, p. 351-359

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    Titre
    • CM-fields and skew-symmetric matrices
    Auteur
    • Bayer-Fluckiger, Eva. Mathématiques, Ecole Polytechnique Fédérale de Lausanne, 1015, Lausanne, Switzerland
    • Berhuy, Grégory. Department of Mathematics, University of British Columbia, Vancouver BC, V6S 1C2, Canada
    • Chuard-Koulmann, Pascale. Institut de Mathématiques, Université de Neuchâtel, rue Emile Argand 11, 2007, Neuchâtel, Switzerland
    Type de document
    • Postprint
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:320496
    Summary
    Abstract.: Cohen and Odoni prove that every CM-field can be generated by an eigenvalue of some skew-symmetric matrix with rational coefficients. It is natural to ask for the minimal dimension of such a matrix. They show that every CM-field of degree 2n is generated by an eigenvalue of a skew-symmetric matrix over Q of dimension at most 4n+2. The aim of the present paper is to improve this bound