Wild ramification bounds and simple group Galois extensions ramified only at $2$

DOI10.1090/S0002-9939-2010-10628-7zbMath1219.11166OpenAlexW2087099411MaRDI QIDQ3085047

John W. Jones

Publication date: 28 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10628-7

zbMATH Keywords

Galois theoryramificationdiscriminant bound

Mathematics Subject Classification ID

Galois theory (11R32) Galois theory (11S20) Ramification and extension theory (11S15)

Related Items (2)

Arithmetic of division fields ⋮ Number fields with solvable Galois groups and small Galois root discriminants

Uses Software

• GAP

Cites Work

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• Septic fields with discriminant $\pm 2^a 3^b$
• ON FOUR-DIMENSIONAL MOD 2 GALOIS REPRESENTATIONS AND A CONJECTURE OF ASH ET AL
• The nonexistence of nonsolvable octic number fields ramified only at one small prime
• Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results
• Septic number fields which are ramified only at one small prime

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