1 February 2023 Finite permutation resolutions
Paul Balmer, Martin Gallauer
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Duke Math. J. 172(2): 201-229 (1 February 2023). DOI: 10.1215/00127094-2022-0041

Abstract

We prove that every finite-dimensional representation of a finite group over a field of characteristic p admits a finite resolution by p-permutation modules. The proof involves a reformulation in terms of derived categories.

Citation

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Paul Balmer. Martin Gallauer. "Finite permutation resolutions." Duke Math. J. 172 (2) 201 - 229, 1 February 2023. https://doi.org/10.1215/00127094-2022-0041

Information

Received: 1 October 2020; Revised: 6 January 2022; Published: 1 February 2023
First available in Project Euclid: 7 December 2022

MathSciNet: MR4541331
zbMATH: 07653255
Digital Object Identifier: 10.1215/00127094-2022-0041

Subjects:
Primary: 20C20
Secondary: 18G80

Keywords: dense triangulated subcategories , derived categories , Grothendieck group , modular representation theory , permutation modules , trivial source modules

Rights: Copyright © 2023 Duke University Press

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Vol.172 • No. 2 • 1 February 2023
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