On the capitulation problem of some pure metacyclic fields of degree 20 II

DOI10.24330/IEJA.1388822arXiv2109.05943OpenAlexW4388579910MaRDI QIDQ6118372

Fouad Elmouhib, Abdelmalek Azizi, Mohammed Talbi

Publication date: 21 March 2024

Published in: International Electronic Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.05943

zbMATH Keywords

capitulation5-class groupHilbert 5-class fieldpure metacyclic field

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• 5-rank of ambiguous class groups of quintic Kummer extensions
• l-Class groups of cyclic extensions of prime degree l

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