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Field Extensions Having The Unique Subfield Property, And G-Cogalois Extensions, Toma Albu
Field Extensions Having The Unique Subfield Property, And G-Cogalois Extensions, Toma Albu
Turkish Journal of Mathematics
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.