Bicyclic commutator quotients with one non-elementary component
Abstract
For any number field K with non-elementary 3-class group Cl(3,K) = C(3^e) x C(3), e >= 2, the punctured capitulation type kappa(K) of K in its unramified cyclic cubic extensions Li, 1 <= i <= 4, is an orbit under the action of S3 x S3. By means of Artin's reciprocity law, the arithmetical invariant kappa(K) is translated to the punctured transfer kernel type kappa(G2) of the automorphism group G2 = Gal(F(3,2,K)/K) of the second Hilbert 3-class...
Paper Details
Title
Bicyclic commutator quotients with one non-elementary component
Published Date
May 3, 2022
Journal
Volume
148
Issue
2
Pages
149 - 180
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