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On an Exceptional Phenomenon in Certain Quadratic Extensions

Published online by Cambridge University Press:  20 November 2018

H. B. Mann
H. B. Mann*
Affiliation:
Ohio State University
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Extract

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Let Ω be a cyclic extension of degree l over the field Σ. Correcting an error which for some time had been haunting the literature, Hasse (1, p. 272) noted that for l = 2, the field Ω may contain a unit ξ such that

.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 474 - 476
Copyright
Copyright © Canadian Mathematical Society 1954

References

1. Hasse, H., Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper, Jahresbericht der Deutschen Mathematiker Vereinigung, 36 (1927), 233–311.Google Scholar