Azizi, A. and Zekhnini, A. and Taous, M.
(2016)
*On some metabelian 2-group and applications II.*
Boletim da Sociedade Paranaense de Matematica, 34 (2).
pp. 75-85.

Official URL: https://www.scopus.com/inward/record.uri?eid=2-s2....

## Abstract

Let G be some metabelian 2-group such that G/G′ ≃ ℤ/2ℤ × ℤ/2ℤ × ℤ/2ℤ. In this paper, we construct all the subgroups of G of index 2 or 4, we give the abelianization types of these subgroups and we compute the kernel of the transfer map. Then we apply these results to study the capitulation problem of the 2-ideal classes of some fields k satisfying the condition Gal(k2(2) /k) ≃ G, where k(k2(2) is the second Hilbert 2-class field of k. © Soc. Paran. de Mat.

Item Type: | Article |
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Subjects: | Mathematics |

Divisions: | SCIENTIFIC PRODUCTION > Mathematics |

Depositing User: | Administrateur Eprints Administrateur Eprints |

Last Modified: | 31 Jan 2020 15:48 |

URI: | http://eprints.umi.ac.ma/id/eprint/4012 |

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