Complexity and varieties for infinitely generated modules

DOI10.1017/S0305004100073618zbMath0848.20003OpenAlexW4236563903WikidataQ105420101 ScholiaQ105420101MaRDI QIDQ4872285

Carlson, Jon F., Jeremy Rickard, David John Benson

Publication date: 19 May 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100073618

zbMATH Keywords

complexityidempotentsfinitely generated modulesquotient categoriesinfinitely generated modulesvariety of modules

Mathematics Subject Classification ID

Related Items (9)

Direct sum decompositions of infinitely generated modules ⋮ Projectivity of modules for infinitesimal unipotent group schemes ⋮ Complexity and varieties for infinite groups. I ⋮ Complexity and varieties for infinite groups. II ⋮ Projective resolutions for modules over infinite groups. ⋮ Gluing representations via idempotent modules and constructing endotrivial modules. ⋮ Rank varieties for a class of finite-dimensional local algebras. ⋮ \(\Pi\)-supports for modules for finite group schemes. ⋮ Infinite dimensional modules for Frobenius kernels

Cites Work

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• Support varieties for restricted Lie algebras
• The variety of an indecomposable module is connected
• Exponents of modules and maps
• Representations, resolutions and Quillen's dimension theorem
• The indecomposable representations of the dihedral 2-groups
• Projectivity and relative projectivity over group rings
• Sur la dimension cohomologique des groupes profinis
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• On the Exponent of Cohomology of Discrete Groups

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