On the class groups of dihedral groups

DOI10.1016/0021-8693(80)90090-3zbMath0436.16006OpenAlexW2015431821MaRDI QIDQ1140700

Takehiko Miyata, Shizuo Endo

Publication date: 1980

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90090-3

zbMATH Keywords

dihedral grouplocally free class groupmaximal orderfundamental units in biquadratic fields

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Units and factorization (11R27) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items

The \(D(2)\)-problem for dihedral groups of order \(4n\), A normal integral basis theorem for dihedral groups, Picard groups and automorphism groups of integral group rings of metacyclic groups, Calculus on Gaussian white noise. III, Lower algebraicK-theory of certain reflection groups, Birational geometry of linear algebraic groups and Galois modules

Cites Work

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