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2016/88/1-2 (7) — DOI: 10.5486/PMD.2016.7264 — pp. 93-117

On the $2$-groups whose abelianizations are of type $(2,4)$ and applications

Authors: Abdelmalek Azizi, Mohammed Taous and Abdelkader Zekhnini

Abstract:

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Keywords: 2-group, metacyclic 2-group, metabelian 2-group, capitulation, Hilbert class field

Mathematics Subject Classification: 11R11, 11R29, 11R32, 11R37, 20F05, 20F16