Arithmetic of quasi-cyclotomic fields

DOI10.1016/j.jnt.2007.04.014zbMath1151.11054OpenAlexW2076998989MaRDI QIDQ927722

Linsheng Yin, Chong Zhang

Publication date: 9 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.04.014

zbMATH Keywords

Galois grouparithmeticrelative integral basisquadratic extensions of cyclotomic fieldsquasi-cyclotomic extensionsreal subfields

Mathematics Subject Classification ID

Galois theory (11R32) Cyclotomic extensions (11R18)

Related Items (4)

Galois groups and genera of a kind of quasi-cyclotomic function fields ⋮ Double coverings for quadratic extensions and function fields ⋮ Almost abelian Artin representations of \(\mathbb{Q}\) ⋮ DOUBLE COVERINGS AND UNIT SQUARE PROBLEMS FOR CYCLOTOMIC FIELDS

Cites Work

• All double coverings of cyclotomic fields
• A note on algebraic \(\Gamma\)-monomials and double coverings
• Kronecker-Weber plus epsilon.
• Algebraic gamma monomials and double coverings of cyclotomic fields
• On integral bases in relative quadratic extensions
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