Field Extensions Having the Unique Subfield Property, and G-Cogalois Extensions
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Date
2002
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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. © TÜBİTAK.
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Keywords
Classical Kummer extension, Field extension, G-Cogalois extension, Radical extension, Separable extension, Simple extension, Unique subfield property
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Q2
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Q2
Source
Turkish Journal of Mathematics
Volume
26
Issue
4
Start Page
433
End Page
445
