Groups which do not admit ghosts

DOI10.1090/S0002-9939-07-09058-2zbMath1190.20008arXivmath/0610423OpenAlexW2063971628MaRDI QIDQ5441158

Mináč, Ján, Sunil K. Chebolu, J. Daniel Christensen

Publication date: 8 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0610423

zbMATH Keywords

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

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Modular representations and characters (20C20) Cohomology of groups (20J06) Stable homotopy theory, spectra (55P42) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (7)

Finite generation of Tate cohomology ⋮ Freyd’s generating hypothesis with almost split sequences ⋮ The generating hypothesis for the stable module category of a \(p\)-group. ⋮ Phantom covering ideals in categories without enough projective morphisms ⋮ Ghosts in modular representation theory. ⋮ Ghost numbers of group algebras. ⋮ Ghost numbers of group algebras. II.

Cites Work

• The generating hypothesis in the derived category of \(R\)-modules
• The generating hypothesis for the stable module category of a \(p\)-group.
• Products in negative cohomology
• Ideals in triangulated categories: Phantoms, ghosts and skeleta
• The Structure of the Group Ring of a p-Group Over a Modular Field
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