Structure and prime decomposition law and relative extensions of abelian fields with prime power degree

DOI10.1007/BF02884268zbMath1133.11316MaRDI QIDQ1962478

Xianke Zhang

Publication date: 10 April 2000

Published in: Science in China. Series A (Search for Journal in Brave)

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cyclic quartic fields and genus theory of their subfields
• Existence of integral bases for relative extensions of \(n\)-cyclic number fields
• Integral bases for bicyclic biquadratic fields over quadratic subfields
• Relative integral bases of number fields of type \((q^ s,q^ s,\dots ,q^ s)\)
• Classification and prime decomposition of abelian \(q\)-fields
• Relative integral bases of abelian \(q\)-fields
• A Simple Construction of Genus Fields of Abelian Number Fields
• Relative Integral Bases

This page was built for publication: Structure and prime decomposition law and relative extensions of abelian fields with prime power degree