An algorithmic construction of cyclic p-extensions of fields, with characteristic different from p, not containing the pth roots of unity
Richard Massy (2009)
Acta Arithmetica
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Richard Massy (2009)
Acta Arithmetica
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Zapiski Nauchnykh Seminarov POMI
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Franz Lemmermeyer (2005)
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In this note we give a new proof of the theorem of Kronecker-Weber based on Kummer theory and Stickelberger’s theorem.
D. J. Burns (1989)
Journal de théorie des nombres de Bordeaux
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C. Greither (1989)
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2000 Mathematics Subject Classification: 20C05, 16U60, 16S84, 15A33. The Structure of the Unit Group of the Group Algebra of the group D10 over any field of characteristic 5 is established in terms of split extensions of cyclic groups.
Ishkhanov, V.V., Lur'e, B.B. (2005)
Zapiski Nauchnykh Seminarov POMI
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