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Journal Article

Permutation modules and cohomological singularity

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Gallauer,  Martin
Max Planck Institute for Mathematics, Max Planck Society;

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Balmer, P., & Gallauer, M. (2022). Permutation modules and cohomological singularity. Commentarii Mathematici Helvetici, 97(3), 413-430. doi:10.4171/cmh/534.


Cite as: https://hdl.handle.net/21.11116/0000-000A-F3C1-9
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.