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Journals / Turkish Journal of Mathematics / 2002 / Cilt: 26 - Sayı: 4

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

Toma ALBU

Pages
433–445
DOI
—

Abstract

We present a short proof, based on Cogalois Theory, of a result due to Acosta de Orozco and Vélez (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.

Özet

We present a short proof, based on Cogalois Theory, of a result due to Acosta de Orozco and Vélez (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.