Polynomials with AGL-monodromy

Möller, Florian

doi:10.1090/S0002-9939-2012-11199-2

Polynomials with AGL-monodromy
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by Florian Möller PDF

Proc. Amer. Math. Soc. 140 (2012), 2967-2980 Request permission

Abstract:

Let $p$ be a prime and $r,e$ positive integers. In this paper we prove that the full affine group $\mathrm {AGL}(r,p^e)$ of dimension $r$ over the field with $p^e$ elements can be realized as the geometric monodromy group of a polynomial in characteristic $p$. We also determine the arithmetic monodromy group of this polynomial and the ramification structure it induces.

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