The 2-Class Tower of $$\mathbb {Q}(\sqrt{-5460})$$Q(-5460)
From MaRDI portal
Publication:5014819
DOI10.1007/978-3-319-97379-1_5zbMath1475.11191arXiv1710.10681OpenAlexW2963430945MaRDI QIDQ5014819
Publication date: 8 December 2021
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.10681
Quadratic extensions (11R11) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Finite nilpotent groups, (p)-groups (20D15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Powerful \(p\)-groups. II: \(p\)-adic analytic groups
- On imaginary quadratic number fields with \(2\)-class group of rank \(4\) and infinite \(2\)-class field tower.
- On Hilbert 2-class fields and 2-towers of imaginary quadratic number fields
- Tours de corps de classes et estimations de discriminants
- The structure of finite \(p\)-groups: Effective proof of the coclass conjectures
- The Magma algebra system. I: The user language
- Computation of Galois groups associated to the 2-class towers of some quadratic fields.
- Tamely ramified towers and discriminant bounds for number fields. II.
- The \(p\)-group generation algorithm
- On the 2-class field tower conjecture for imaginary quadratic number fields with 2-class group of rank 4
- Computation of Galois groups associated to the 2-class towers of some imaginary quadratic fields with 2-class group \(C_2 \times C_2\times C_2\)
- Infinite Hilbert 2-class field tower of quadratic number fields
- On the Efficiency of Some Finite Groups
- Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
- The Structure of Finite p -Groups
- Lower bounds for discriminants of number fields
- Infinite 2-class field towers of some imaginary quadratic number fields
- On class field towers
- Algorithmic Number Theory
This page was built for publication: The 2-Class Tower of $$\mathbb {Q}(\sqrt{-5460})$$Q(-5460)
