Finite Radical Field Extensions and Crossed Homomorphisms Original Research Article

We extend to arbitrary finite radical extensions the results of Barrera-Mora and Velez (J. Algebra162(1993), 295–301) concerning simple radical extensions and we obtain in terms of crossed homomorphisms new characterizations of Kneser extensions andΔ-Cogalois extensions introduced by Albu and Nicolae (J. Number Theory52(1995), 299–318).