On some metabelian 3-groups realizable and principlaization
On some metabelian 3-groups realizable and principlaization
Let G be some metabelian 3-group with abelianisation of type (3, 3). In this paper, we prove that G is realizable with some fields k which is the normal closure of a pure cubic field and we apply these results over G to study the capitulation problem of the 3-ideal …