Ghosts in modular representation theory.

DOI10.1016/j.aim.2007.11.008zbMath1201.20049arXivmath/0609699OpenAlexW2082754577MaRDI QIDQ2480306

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

Publication date: 31 March 2008

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

Full work available at URL: https://arxiv.org/abs/math/0609699

zbMATH Keywords

finite \(p\)-groupsTate cohomologystable module categoriesghost mapsprojective classes

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 (11)

Finite generation of Tate cohomology ⋮ On the Christensen-Wang bounds for the ghost number of a \(p\)-group algebra ⋮ The quaternion group has ghost number three ⋮ Freyd’s generating hypothesis with almost split sequences ⋮ Higher Toda brackets and the Adams spectral sequence in triangulated categories ⋮ Orlov spectra: bounds and gaps ⋮ Transfinite Adams representability ⋮ Powers of the phantom ideal ⋮ The ghost dimension of a ring ⋮ Ghost numbers of group algebras. ⋮ Ghost numbers of group algebras. II.

Cites Work

• The generating hypothesis for the stable module category of a \(p\)-group.
• Blocks of tame representation type and related algebras
• Ideals in triangulated categories: Phantoms, ghosts and skeleta
• K-Theory and the Generating Hypothesis
• Groups which do not admit ghosts
• The Structure of the Group Ring of a p-Group Over a Modular Field
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