Bicyclic commutator quotients with one non-elementary component
نویسندگان
چکیده
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 in its unramified cyclic cubic extensions Li, 1 <= i 4, is an orbit under action S3 S3. By means Artin's reciprocity law, arithmetical invariant translated to transfer kernel kappa(G2) automorphism G2 Gal(F(3,2,K)/K) second Hilbert K. A classification finite 3-groups G low order and bicyclic commutator quotient G/G' 2 6, according algebraic kappa(G), admits conclusions concerning length tower F(3,infty,K) imaginary quadratic fields
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2022
ISSN: ['2464-7136', '0862-7959']
DOI: https://doi.org/10.21136/mb.2022.0127-21