Cyclic quartic fields and genus theory of their subfields

DOI10.1016/0022-314X(84)90067-2zbMath0546.12002OpenAlexW1997392505MaRDI QIDQ798361

Xianke Zhang

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-314x(84)90067-2

zbMATH Keywords

discriminantquadratic number fieldfundamental unitgenus theoryquartic fieldgenus grouprelative integral basis

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class field theory (11R37) Cubic and quartic extensions (11R16) Iwasawa theory (11R23) Ramification and extension theory (11S15)

Related Items (max. 100)

Relative integral bases for quartic fields over quadratic subfields ⋮ The2-rankof the class group of some real cyclic quartic number fields II ⋮ The integers of a cyclic quartic field ⋮ Structure and prime decomposition law and relative extensions of abelian fields with prime power degree ⋮ The 2-rank of the class group of some real cyclic quartic number fields

Cites Work

• Some contributions to the theory of cyclic quartic extensions of the rationals
• On Integral Bases
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