Finite modules over non-semisimple group rings.

DOI10.1007/BF02984406zbMath1086.20005arXivmath/0204210OpenAlexW2091403376MaRDI QIDQ1769169

Cristian D. González-Avilés

Publication date: 21 March 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204210

zbMATH Keywords

charactersAbelian varietiesclass number relationsfinite Abelian groupsfinite modulescohomological trivialityideal class groups of number fieldsorders of isotypic components

Mathematics Subject Classification ID

Group rings (16S34) Abelian varieties of dimension (> 1) (11G10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Class numbers, class groups, discriminants (11R29) Arithmetic ground fields for abelian varieties (14K15)

Related Items

Visibility of ideal classes, Capitulation, ambiguous classes and the cohomology of the units

Cites Work

• Projectivity and relative projectivity over group rings
• On the surjectivity of some trace maps
• Induction from elementary abelian subgroups
• Rational points of Abelian varieties with values in towers of number fields
• Brauer–Kuroda relations for S-class numbers
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• Kuroda's class number formula
• On Tate-Shafarevich groups of abelian varieties
• Profinite Groups, Arithmetic, and Geometry. (AM-67)
• NÉRON PAIRING AND QUASICHARACTERS
• On the arithmetic of abelian varieties
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item