Structure of 2-class groups in the $\mathbb{Z}_2$-extensions of certain real quadratic fields

DOI10.1007/s40993-023-00478-2arXiv2302.06200OpenAlexW4387846725MaRDI QIDQ6072068

Anupam Saikia, H. Laxmi, Jaitra Chattopadhyay

Publication date: 29 November 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.06200

zbMATH Keywords

Iwasawa invariants Greenberg's conjecture 2-rank of class group

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Cites Work

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Class field theory
Fields $\mathbb{Q}(i,\sqrt{2},\sqrt{p_1},\ldots,\sqrt{p_n})$ with cyclic 2-class group

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Structure of 2-class groups in the \(\mathbb{Z}_2\)-extensions of certain real quadratic fields