Some explicit integral polynomials with Galois group W(E8)

Some explicit integral polynomials with Galois group W(E₈)

Tetsuji Shioda

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 85, Number 8 (2009), 118-121.

Abstract

We construct some explicit Galois extensions of Q (or integral polynomials) with Galois group W(E₈) via Mordell-Weil lattices.

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Primary Subjects: 11S05, 12F12, 14J27

Keywords: Weyl group; Galois group; Mordell-Weil lattices

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1254491216
Digital Object Identifier: doi:10.3792/pjaa.85.118
Mathematical Reviews number (MathSciNet): MR2561902

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