The class groups of quaternion and dihedral 2‐groups

DOI10.1112/S0025579300005799zbMath0303.12006MaRDI QIDQ4059033

M. E. Keating, Stephen M. J. Wilson, Albrecht Froehlich

Publication date: 1974

Published in: Mathematika (Search for Journal in Brave)

Mathematics Subject Classification ID

Galois theory (11R32) Grothendieck groups, (K)-theory, etc. (16E20) Class field theory (11R37) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (17)

On integral representations of twisted group rings ⋮ Group actions on homology spheres ⋮ A normal integral basis theorem for dihedral groups ⋮ On the class groups of dihedral groups ⋮ The surgery obstruction groups for finite 2-groups ⋮ Galois module structure and rootnumbers for quaternion extensions of degree \(2^ n\). ⋮ A normal integral basis theorem ⋮ Groupe des classes de l'algèbre d'un groupe metacyclique ⋮ Reduced norms in the K-theory of orders ⋮ Quelques théorèmes de base normale d'entiers ⋮ \(SK_1\) of dihedral groups ⋮ Locally free classgroups of groups of prime power order ⋮ Whitehead groups of finite groups ⋮ Subgroups generating D(ZG) ⋮ The finiteness obstructions for nilpotent spaces lie in \(D(Z\pi)\) ⋮ On the krull-schmidt-azumaya theorem for integral group rings ⋮ On the Structure of Finite Groups with Periodic Cohomology

Cites Work

• Induced representations and projective modules
• Artin-root numbers and normal integral bases for quaternion fields
• Unnamed Item

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