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2002

Classical Kummer extension.

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Full-Text Articles in Physical Sciences and Mathematics

Field Extensions Having The Unique Subfield Property, And G-Cogalois Extensions, Toma Albu Jan 2002

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 VĂ©lez (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.