Projective module groups of \(SL_n(\mathbb{Z})\) and \(GL_n(\mathbb{Z})\)

DOI10.1016/0022-4049(80)90041-9zbMath0416.16009OpenAlexW1975811358MaRDI QIDQ754276

David W. Carter

Publication date: 1980

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(80)90041-9

zbMATH Keywords

integral group ringsGrothendieck groups of projective modulesnon free projective modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Linear algebraic groups over adèles and other rings and schemes (20G35) Representation theory of associative rings and algebras (16Gxx)

Related Items

Finite \(p\)-periodic quotients of general linear groups ⋮ On the projective class group of arithmetic groups ⋮ Modules

Cites Work

• Grothendieck groups and Picard groups of abelian group rings
• Projective class groups of symmetric and alternating groups
• Class groups for integral representations of metacyclic groups
• Relation Modules