The class group of a cyclic p-group

DOI10.1016/0021-8693(74)90210-5zbMath0282.13004OpenAlexW4210567847MaRDI QIDQ1843462

Steven Galovich

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90210-5

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items

Module de Frobenius et structure galoisienne des anneaux d'entiers, Reduced norms in the K-theory of orders, Corrigendum: The class group of a cyclic p-group, Fine structure of class groups of cyclic p-groups, \(SK_1\) of dihedral groups, Class groups of cyclic p ‐groups, Class group of the group ring of a cyclic group of order \(p^ 2\) over the ring of integers in a quadratic number field

Cites Work

• Unnamed Item
• On the theory of cyclotomic fields
• Induced representations and projective modules
• On the projective class group of cyclic groups of prime power order
• A Mayer-Vietoris sequence for class groups
• Computation of invariants in the theory of cyclotomic fields
• On the classgroup of integral grouprings of finite Abelian groups II
• Class Groups of Integral Group Rings