Permutation modules and cohomological singularity

Balmer, Paul; Gallauer, Martin

doi:10.4171/cmh/534

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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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https://doi.org/10.4171/cmh/534
(Publisher version)

https://doi.org/10.48550/arXiv.2009.14093
(Preprint)

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Balmer-Gallauer_Permutation modules and cohomological singularity_2022.pdf
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Citation

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.