The generating hypothesis for the stable module category of a \(p\)-group.

DOI10.1016/J.JALGEBRA.2006.12.013zbMath1120.20002arXivmath/0611403OpenAlexW1967596497MaRDI QIDQ876362

J. Daniel Christensen, Sunil K. Chebolu, David John Benson, Mináč, Ján

Publication date: 18 April 2007

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

Full work available at URL: https://arxiv.org/abs/math/0611403

zbMATH Keywords

finite \(p\)-groupsTate cohomologystable module categoriesghost mapsgenerating hypothesis

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Stable homotopy theory, spectra (55P42) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05)

Related Items (10)

Auslander-Reiten sequences, Brown-Comenetz duality, and the \(K(n)\)-local generating hypothesis ⋮ On the Christensen-Wang bounds for the ghost number of a \(p\)-group algebra ⋮ Freyd’s generating hypothesis with almost split sequences ⋮ A Short Introduction to the Telescope and Chromatic Splitting Conjectures ⋮ Ghosts in modular representation theory. ⋮ Orlov spectra: bounds and gaps ⋮ The equivariant generating hypothesis ⋮ Groups which do not admit ghosts ⋮ Ghost numbers of group algebras. ⋮ Ghost numbers of group algebras. II.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The generating hypothesis in the derived category of \(R\)-modules
• The generating hypothesis in the derived category of a ring.
• Products in negative cohomology
• Refinements for infinite direct decompositions of algebraic systems
• K-Theory and the Generating Hypothesis
• Groups which do not admit ghosts
• A Krull-Schmidt Theorem for Infinite Sums of Modules

This page was built for publication: The generating hypothesis for the stable module category of a \(p\)-group.