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Polynomials with AGL-monodromy

Author: Florian Möller
Journal: Proc. Amer. Math. Soc. 140 (2012), 2967-2980
MSC (2010): Primary 12F05, 12F10
Posted: January 12, 2012
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Abstract: Let be a prime and positive integers. In this paper we prove that the full affine group $\mathrm {AGL}(r,p^e)$ of dimension over the field with elements can be realized as the geometric monodromy group of a polynomial in characteristic . We also determine the arithmetic monodromy group of this polynomial and the ramification structure it induces.

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