Galois groups of some vectorial polynomials

Abhyankar, Shreeram; Inglis, Nicholas

doi:10.1090/S0002-9947-01-02744-1

Galois groups of some vectorial polynomials
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by Shreeram S. Abhyankar and Nicholas F. J. Inglis

Trans. Amer. Math. Soc. 353 (2001), 2941-2969

DOI: https://doi.org/10.1090/S0002-9947-01-02744-1

Published electronically: January 29, 2001

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Abstract:

Previously nice vectorial equations were constructed having various finite classical groups as Galois groups. Here such equations are constructed for the remaining classical groups. The previous equations were genus zero equations. The present equations are strong genus zero.

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