A logarithmic approach to classgroups of integral group rings

DOI10.1016/0021-8693(80)90092-7zbMath0491.12007OpenAlexW1990534691MaRDI QIDQ1167210

Martin J. Taylor

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)90092-7

zbMATH Keywords

Galois module structurering of algebraic integerstamely ramified number field extensionclass groups of integral group rings

Mathematics Subject Classification ID

Galois theory (11R32) Iwasawa theory (11R23) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (10)

Opérations d'Adams et groupe des classes d'algèbre de groupe. (Adams operations and class groups of group algebras) ⋮ Algebraic number fields ⋮ Structures galoisienne des anneaux d'entiers d'extensions sauvagement ramifiees. I ⋮ On Fröhlich's conjecture for rings of integers of tame extensions ⋮ On the structure of certain completed character rings ⋮ Local root numbers and Hermitian-Galois module structure of rings of integers ⋮ The Group Logarithm Past and Present ⋮ K 1 of Certain Iwasawa Algebras, After Kakde ⋮ Rings of integers and trace forms for tame extensions of odd degree ⋮ Adams operations and fixed point theorems in \(K\)-theory of group algebras

Cites Work

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• Induced representations and projective modules
• Locally free classgroups of groups of prime power order
• Galois Cohomology
• Locally free modules over arithmetic orders.
• Arithmetic and Galois module structure for tame extensions.
• Galois Module Structure of Rings of Integers in Kummer Extensions
• Galois algebras and their homomorphisms.
• Endliche Gruppen I

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