On the monogeneity of the ring of integers of an imaginary dihedral extension of degree \(2p\) (\(p\) prime)

DOI10.1007/BF01195356zbMath0597.12007MaRDI QIDQ1078610

Jean Cougnard

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

ring of integersimaginary dihedral extensionmonogeneity

Mathematics Subject Classification ID

Quadratic extensions (11R11) Other number fields (11R21) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items

Power bases in dihedral quartic fields

Cites Work

• Propriétés locales et globales de certaines extensions metacycliques
• Sur l'arithmétique des extensions galoisiennes à groupe de Galois diédral d'ordre \(2p\)
• On the ambiguous classes and monogenic orders of a cyclic extension of odd prime degree over \(\mathbb Q\) or an imaginary quadratic field.