The 3-Sylow subgroup of the tame kernel of real number fields |
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Authors: | Hourong Qin Haiyan Zhou |
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Affiliation: | Department of Mathematics, Nanjing University, Nanjing 210093, PR China |
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Abstract: | Let F be a cubic cyclic field with exactly one ramified prime p,p>7, or , a real quadratic field with . In this paper, we study the 3-primary part of K2OF. If 3 does not divide the class number of F, we get some results about the 9-rank of K2OF. In particular, in the case of a cubic cyclic field F with only one ramified prime p>7, we prove that four conclusions concerning the 3-primary part of K2OF, obtained by J. Browkin by numerical computations for primes p, 7≤p≤5000, are true in general. |
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Keywords: | 19F15 11R11 11R16 11R29 11R37 |
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