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Permutation modules and cohomological singularity (2009.14093v3)
Published 29 Sep 2020 in math.RT and math.CT
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.
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