The exponent of class groups

DOI10.1016/0021-8693(74)90117-3zbMath0278.20016OpenAlexW1978121972MaRDI QIDQ1394414

Stephen V. Ullom

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)90117-3

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10)

Related Items (10)

Opérations d'Adams et groupe des classes d'algèbre de groupe. (Adams operations and class groups of group algebras) ⋮ On the Galois-Gauss sums of weakly ramified characters ⋮ Module de Frobenius et structure galoisienne des anneaux d'entiers ⋮ Projective class groups of symmetric and alternating groups ⋮ Groupe des classes de l'algèbre d'un groupe metacyclique ⋮ Quelques théorèmes de base normale d'entiers ⋮ Corrigendum: The class group of a cyclic p-group ⋮ Fine structure of class groups of cyclic p-groups ⋮ Locally free classgroups of groups of prime power order ⋮ The finiteness obstructions for nilpotent spaces lie in \(D(Z\pi)\)

Cites Work

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• Corrigendum: The class group of a cyclic p-group
• A Mayer-Vietoris sequence for class groups
• On extensions of lattices
• Genera and decompositions of lattices over orders
• The Grothendieck ring of a finite group
• On the classgroup of integral grouprings of finite Abelian groups II
• Induction theorems for Grothendieck groups and Whitehead groups of finite groups
• On the classgroup of integral grouprings of finite abelian groups
• Class Groups of Integral Group Rings
• Allgemeine Kongruenzklasseneinteilungen der Ideale einfacher Algebren über algebraischen Zahlkörper und ihre L-Reihen.

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