Class Groups of Cyclotomic Fields and Group Rings

DOI10.1112/jlms/s2-17.2.231zbMath0391.12008OpenAlexW2017276537MaRDI QIDQ4172140

Stephen V. Ullom

Publication date: 1978

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-17.2.231

zbMATH Keywords

Class GroupsMaximal OrderBernoulli NumberClass Field TheoryCyclotomic FieldsGroup RingsLambda-Invariant

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Cyclotomic extensions (11R18) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (5)

On the class groups of dihedral groups ⋮ On Kervaire and Murthy's conjecture. ⋮ Local units and circular index in abelian \(p\)-group rings ⋮ On the Picard group of the integer group ring of the cyclic \(p\)-group and certain Galois groups ⋮ Class groups of cyclic p ‐groups

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