On some metabelian 3-groups realizable and principlaization
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Abstract
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 classes of k.
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How to Cite
Talbi, M., & Derhem, A. (2016). On some metabelian 3-groups realizable and principlaization. Gulf Journal of Mathematics, 4(4). https://doi.org/10.56947/gjom.v4i4.274
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