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Quadratic extensions of number fields with elementary abelian 2-prim K2(OF) of smallest rank

โœ Scribed by Ruth I Berger

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
495 KB
Volume
34
Category
Article
ISSN
0022-314X

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Let F be a quadratic extension of Q and O F the ring of integers in F. A result of Tate enables one to compute the 2-rank of K 2 O F in terms of the 2-rank of the class group. Formulas for the 4-rank of K 2 O F exist, but are more involved. We give upper and lower bounds on the 8-rank of K 2 O F in