Bounding the ranks of ZG-lattices by their restrictions to elementary Abelian subgroups

DOI10.1016/0022-4049(82)90103-7zbMath0475.20041OpenAlexW2039464528MaRDI QIDQ1159768

Peter J. Webb

Publication date: 1982

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(82)90103-7

zbMATH Keywords

Krull dimensionQuillen's theoremintegral group ringmodular representation theoryelementary abelian p-subgroupmod p cohomology ring

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (4)

Complexity and multiple complexes ⋮ Endotrivial modules for finite groups via homotopy theory ⋮ ON GROUPS OF TYPE $\mathcal{L}^{-1}$ ⋮ Bounded complexes of permutation modules

Cites Work

• On cohomological periodicity of ZG-lattices
• The partial Euler characteristics of the direct powers of a finite group
• Representations, resolutions and Quillen's dimension theorem
• The structure of periodic modules over modular group algebras
• Projectivity and relative projectivity over group rings
• Periodicity in groups
• Minimal resolutions for finite groups
• The spectrum of an equivariant cohomology ring. I. II
• Decomposition of the Augmentation Ideal and of the Relation Modules of a Finite Group
• Enumerating p -Groups, II: Problems Whose Solution is PORC

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