On Cyclic Fields of Odd Prime Degree p with Infinite Hilbert p-Class Field Towers
2002 ◽
Vol 45
(1)
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pp. 86-88
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AbstractLet k be a cyclic extension of odd prime degree p of the field of rational numbers. If t denotes the number of primes that ramify in k, it is known that the Hilbert p-class field tower of k is infinite if t > 3 + 2 . For each t > 2 + , this paper shows that a positive proportion of such fields k have infinite Hilbert p-class field towers.
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2008 ◽
Vol 50
(1)
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pp. 27-32
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1994 ◽
Vol 6
(2)
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pp. 261-272
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