Modules over the integral group ring of a nonabelian group of order 𝑝𝑞

DOI10.1090/memo/0341zbMath0598.16014OpenAlexW2002605953MaRDI QIDQ3731802

Lee Klingler

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1090/memo/0341

zbMATH Keywords

latticesfractional idealspullbackprojective dimensionsintegral group ringdirect sum decompositionspower cancellationdirect sums of latticesisomorphism classes of finitely generated left moduleslocally quasi-free class group

Mathematics Subject Classification ID

Group rings (16S34) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Localization and associative Noetherian rings (16P50)

Related Items

The genus of a module. II: Roiter's theorem, power cancellation and extension of scalars, Cancellation and stability properties of generalized torsion modules, Integral representations of groups of square-free order, On orders and multiple fibre products, Sweeping-similarity of matrices