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Automorphisms and stem extensions

โœ Scribed by Michael D Fry


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
861 KB
Volume
88
Category
Article
ISSN
0021-8693

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The arithmetic of iterated maps is used to characterize the cyclic cubic extensions \(F\) of a field \(\kappa\) (char \(\kappa \neq 2\) ) in terms of the polynomials representing the nontrivial automorphisms of \(F / \kappa\). This leads to an analogue of Kummer theory for abelian extensions of expo