RADICAL EXTENSIONS AND CROSSED HOMOMORPHISMS
Barrera Mora, Fernando
2001
Fernando Barrera Mora and Pablo Lam Estrada, Radical Extensions and Crossed Homomorphisms. Bull. Austral. Math. Soc. (64), 107-119 (2001). Preprinted
Abstract
If Q./F is a Galois extension with Galois group G and /x(fi) denotes the group of roots of unity in Q, we use the group Z1{G,fi(Q)) of crossed homomorphisms to study radical extensions inside Q. Furthermore, we characterise cubic radical extensions, and we provide an example to show that this result can not be extended for higher degree extensions.
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