Article,

The Group of Automorphisms of Cyclic Extensions of Rational Function Fields

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Journal of Algebra, 216 (2): 665 - 706 (1999)
DOI: 10.1006/jabr.1998.7804

Abstract

We study the automorphism groups of cyclic extensions of the rational function fields. We give conditions for the cyclic Galois group to be normal in the whole automorphism group, and then we study how the ramification type determines the structure of the whole automorphism group.

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