Revista Matemática Iberoamericana

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Volume 19, Issue 2, 2003, pp. 265–286
DOI: 10.4171/RMI/346

Published online: 2003-08-31

Galois theory of special trinomials

Shreeram S. Abhyankar[1]

(1) Purdue University, West Lafayette, USA

This is the material which I presented at the 60th birthday conference of my good friend Jos\'{e} Luis Vicente in Seville in September 2001. It is based on the nine lectures, now called sections, which were given by me at Purdue in Spring 1997. This should provide a good calculational background for the Galois theory of vectorial (= additive) polynomials and their iterates.

Keywords: Galois groups, iterates, norms, projective polynomials, splitting fields, vectorial polynomials

Abhyankar Shreeram: Galois theory of special trinomials. Rev. Mat. Iberoam. 19 (2003), 265-286. doi: 10.4171/RMI/346