Exceptional polynomials and monodromy groups in positive characteristic

We discuss exceptional polynomials, i.e. polynomials over a finite field $k$ that induce bijections over infinitely many finite extensions of $k$. In the first chapters we give the theoretical background to characterize this class of polynomials with Galois theoretic means. This leads to the notion...

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Bibliographic Details
Main Author: Möller, Florian
Format: Doctoral Thesis
Language:English
Published: 2009
Subjects:
Online Access:https://opus.bibliothek.uni-wuerzburg.de/frontdoor/index/index/docId/2816
http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-34871
https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-34871
https://opus.bibliothek.uni-wuerzburg.de/files/2816/thesis.pdf