The stable category and invertible modules for infinite groups

DOI10.1016/j.aim.2019.106853zbMath1457.20005arXiv1902.06533OpenAlexW2981873340WikidataQ126990768 ScholiaQ126990768MaRDI QIDQ2335494

Peter Symonds, Nadia Mazza

Publication date: 14 November 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06533

zbMATH Keywords

stable categoryendotrivial moduleinvertible module

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Modular representations and characters (20C20) Syzygies, resolutions, complexes in associative algebras (16E05) Integral representations of infinite groups (20C12)

Related Items (3)

Injective generation of derived categories and other applications of cohomological invariants of infinite groups ⋮ Projectively coresolved Gorenstein flat dimension of groups ⋮ On some cohomological invariants for large families of infinite groups

Cites Work

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• Simple endotrivial modules for quasi-simple groups
• The Bredon cohomology of subgroup complexes
• The classification of endo-trivial modules.
• A split exact sequence of Mackey functors
• Group-like structures in general categories. I. Multiplications and comultiplications
• Homological dimension and Farrel cohomology
• A relative version of Webb's theorem on the equivariant chain complex of a subgroup complex.
• Gluing representations via idempotent modules and constructing endotrivial modules.
• Complete cohomological functors on groups
• Products in negative cohomology
• Complexity and varieties for infinite groups. I
• Quillen equivalences for stable categories
• Finiteness conditions in the stable module category.
• Endotrivial modules in the cyclic case.
• On groups of type \(\Phi\).
• The group of endotrivial modules for the symmetric and alternating groups
• Endotrivial modules for the symmetric and alternating groups
• Gorenstein dimension and proper actions
• Idempotent Modules in the Stable Category
• The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
• The Reduction of an RG–Lattice Modulo pⁿ
• Stable functors of derived equivalences and Gorenstein projective modules
• Endotrivial modules for finite groups of Lie type
• Groups of cohomological dimension one
• Torsion endo-trivial modules

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