Permutation modules and cohomological singularity

Abstract

We define a new invariant of finitely generated representations of a finite group, with coefficients in a commutative noetherian ring. This invariant uses group cohomology and takes values in the singularity category of the coefficient ring. It detects which representations are controlled by permutation modules.

14 pages; v2: new introduction, shorter discussion of `big' triangulated categories; v3: minor changes before publication

References in corpus (2)

• Finite permutation resolutions
• Permutation modules, Mackey functors, and Artin motives

Cited by in corpus (3)

• Finite permutation resolutions
• Permutation modules, Mackey functors, and Artin motives
• Stratifying integral representations of finite groups