Number fields unramified away from 2

DOI10.1016/j.jnt.2010.02.005zbMath1203.11073arXivmath/0605649OpenAlexW2047927142MaRDI QIDQ977122

John W. Jones

Publication date: 18 June 2010

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

Full work available at URL: https://arxiv.org/abs/math/0605649

zbMATH Keywords

number fieldbounds for discriminantsprescribed ramification

Mathematics Subject Classification ID

Other number fields (11R21) Ramification and extension theory (11S15)

Related Items (7)

Ramification in the inverse Galois problem ⋮ Abelian surfaces good away from 2 ⋮ An intriguing hyperelliptic Shimura curve quotient of genus 16 ⋮ Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois ⋮ Wild ramification bounds and simple group Galois extensions ramified only at $2$ ⋮ Computing algebraic numbers of bounded height ⋮ Polynomials with prescribed bad primes

Uses Software

• PARI/GP

Cites Work

• Octic 2-adic fields
• A database of local fields
• The transitive groups of degree up to eleven⁺
• The nonexistence of nonsolvable octic number fields ramified only at one small prime
• Septic number fields which are ramified only at one small prime
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Number fields unramified away from 2