论文标题
Scholz-Taussky类型F的Schur Sigma-groups
Schur sigma-Groups of Scholz-Taussky Type F
论文作者
论文摘要
对于有限的metabelian 3组M，具有基本的双环换向商M/m'= C3*C3，c3*c3，cc cc（m）在{4,6}中，转移内核类型F，最小的schur sigma-groups，最小的schur sigma-group s具有第二个派生的s/s“ = m”的证据。 gal（f（3,2，k）/k），分别为3级场塔组s = gal（F（3，infty，k）/k），假想的二次数字字段k = q（sqrt {d}）。
For finite metabelian 3-groups M with elementary bicyclic commutator quotient M/M' = C3*C3, coclass cc(M) in {4,6}, and transfer kernel type F, the smallest Schur sigma-groups S with second derived quotient S/S" = M are determined. Evidence is provided of arithmetical realizations of these groups by second 3-class groups M = Gal(F(3,2,K)/K), respectively 3-class field tower groups S = Gal(F(3,infty,K)/K), of imaginary quadratic number fields K=Q(sqrt{d}).
