On metabelian 2-class field towers over -extensions of real quadratic fields

DOI10.4153/S0008439521000862zbMath1506.11143OpenAlexW3202781671MaRDI QIDQ5099406

Publication date: 31 August 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439521000862

zbMATH Keywords

Greenberg's conjecture $p$-class field tower $\mathbb{Z}_p$-extension

Mathematics Subject Classification ID

Galois theory (11R32) Quadratic extensions (11R11) Class field theory (11R37) Iwasawa theory (11R23)

Uses Software

GAP
PARI/GP
ANUPQ

Cites Work

A note on semidihedral 2-class field towers and $\mathbb {Z}_{2}$-extensions
A note on class numbers of algebraic number fields
On the Iwasawa invariants of the cyclotomic $\mathbb Z_2$-extensions of certain real quadratic fields
On the pro-$p$-extensions with restricted ramification over the cyclotomic $\mathbb Z_p$-extension of a number field
On the $p$-class tower of a $\mathbb Z_p$-extension
Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
Real quadratic fields with abelian 2-class field tower
Remarks on $\mathbb{Z}_ p$-extensions of number fields
On the Iwasawa $\lambda_2$-invariants of certain families of real quadratic fields
On the maximal unramified pro-2-extension of certain cyclotomic $\mathbb{Z}_2$-extensions
On the Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb Z_2$-extension of a real quadratic field
Sur le rang du 2-groupe de classes de 𝑄({√{𝑚}},{√{𝑑}}) où 𝑚=2 ou un premier 𝑝≡1(𝑚𝑜𝑑4)
Tame pro-2 Galois groups and the basic ℤ₂-extension
Non-abelian Iwasawa theory of ℤp-extensions
On the Iwasawa Invariants of Totally Real Number Fields
The Ambiguous Class Number Formula Revisited
Real Quadratic Number Fields with 2-Class Group of Type (2,2).
On unramified Galois $2$-groups over $\mathbb Z_2$-extensions of real quadratic fields
On the Iwasawa λ-invariant of the cyclotomic ℤ2-extension of ℚ(pq) and the 2-part of the class number of ℚ(pq,2 + 2)
On the maximal unramified pro-2-extension of Z₂-extensions of certain real quadratic fields II

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