Field Extensions Having the Unique Subfield Property, and G-Cogalois Extensions

Authors : Toma ALBU

Pages : 433-446

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We present a short proof, based on Cogalois Theory, of a result due to Acosta de Orozco and Vélez insert ignore into journalissuearticles values(1982, J. Number Theory 15, 388-405); characterizing separable simple radical field extensions with the unique subfield property, and prove that these extensions are precisely the simple G--Cogalois extensions with a cyclic Kneser group.
Keywords : Field extension, separable extension, simple extension, radical extension, G Cogalois extension, unique subfield property, classical Kummer extension