Automorphisms of induced extensions
โ Scribed by Fletcher Gross
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 810 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We provide simple proofs of the main results in the paper by Patrick Morton, ``Characterizing Cyclic Cubic Extensions by Automorphism Polynomials'' (J. Number Theory 49 (1994), 183 208), avoiding the use of computer algebra. 1996 Academic Press, Inc. ## 1. Introduction In [2] Morton considers cyc
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