Structure of relative genus fields of cubic Kummer extensions

DOI10.1007/s40590-023-00562-8arXiv1808.04678MaRDI QIDQ6070434

Daniel C. Mayer, S. Aouissi, Mohammed Talbi, Moulay Chrif Ismaili, Abdelmalek Azizi

Publication date: 21 November 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04678

zbMATH Keywords

3-rankpure cubic fieldmultiplicity of conductorsrelative genus fieldprimitive ambiguous principal idealscubic Kummer extensiongroup of ambiguous ideal classes

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class field theory (11R37) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

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