On a Theorem of Kawamoto on Normal Bases of Rings of Integers, II
2005 ◽
Vol 48
(4)
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pp. 576-579
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AbstractLet m = pe be a power of a prime number p. We say that a number field F satisfies the property when for any a ∈ F×, the cyclic extension F(ζm, a1/m)/F(ζm) has a normal p-integral basis. We prove that F satisfies if and only if the natural homomorphism is trivial. Here K = F(ζm), and denotes the ideal class group of F with respect to the p-integer ring of F.
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2014 ◽
Vol 17
(A)
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pp. 385-403
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2007 ◽
Vol 59
(3)
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pp. 811-824
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1994 ◽
Vol 46
(1)
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pp. 169-183
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1992 ◽
Vol 35
(3)
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pp. 361-370
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