Complexity and varieties for infinite groups. I

DOI10.1006/jabr.1996.6996zbMath0886.20002OpenAlexW1987901958MaRDI QIDQ1364267

David John Benson

Publication date: 5 March 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.6996

zbMATH Keywords

complexityfinite subgroupsrestrictionsvarieties of modulesmodules over group ringsmodules of type \(FP_ \infty\)

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological methods in group theory (20J05)

Related Items

A Criterion for Projective Modules, Multiple complexes and gaps in Farrell cohomology, Realizability of modules over Tate cohomology, On cohomology rings of infinite groups., Complexity and varieties for infinite groups. II, Injective generation of derived categories and other applications of cohomological invariants of infinite groups, A characterization of cohomological dimension for a big class of groups., Finite generation properties of cohomology rings for infinite groups., Hereditary abelian model categories, Finiteness conditions in the stable module category., Intermediaries in Bredon (co)homology and classifying spaces, ON GROUPS OF TYPE $\mathcal{L}^{-1}$, On \(p\)-rank representations, A note on complete resolutions, On some cohomological invariants for large families of infinite groups, Flat and stably flat modules, Modules possessing projective resolutions of finite type, The stable category and invertible modules for infinite groups

Cites Work

• Unnamed Item
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• An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group
• Projectivity and relative projectivity over group rings
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Endo-permutation modules over p-groups. II
• On groups of type \((FP)_\infty\)
• On the vanishing of \(\lim_{(i)}\)
• The spectrum of an equivariant cohomology ring. I. II
• Note on extensions of Abelian groups by primary groups
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Homological Finiteness Conditions for Modules Over Group Algebras
• Idempotent Modules in the Stable Category
• Complexity and varieties for infinitely generated modules
• Homological finiteness conditions for modules over strongly group-graded rings