On unramified cyclic extensions of degree l of algebraic number fields of degree l
1987 ◽
Vol 107
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pp. 135-146
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Keyword(s):
Let I be an odd prime number and let K be an algebraic number field of degree I. Let M denote the genus field of K, i.e., the maximal extension of K which is a composite of an absolute abelian number field with K and is unramified at all the finite primes of K. In [4] Ishida has explicitly constructed M. Therefore it is of some interest to investigate unramified cyclic extensions of K of degree l, which are not contained in M. In the preceding paper [6] we have obtained some results about this problem in the case that K is a pure cubic field. The purpose of this paper is to extend those results.
1967 ◽
Vol 29
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pp. 281-285
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2012 ◽
Vol 11
(05)
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pp. 1250087
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2019 ◽
Vol 15
(02)
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pp. 353-360
1984 ◽
Vol 93
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pp. 133-148
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1978 ◽
Vol 26
(1)
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pp. 26-30
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1961 ◽
Vol 57
(3)
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pp. 449-459
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Keyword(s):
1969 ◽
Vol 66
(2)
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pp. 323-333
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Keyword(s):
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