Finite permutation resolutions
Representation Theory
2024-09-10 v2 Category Theory
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.
Cite
@article{arxiv.2009.14091,
title = {Finite permutation resolutions},
author = {Paul Balmer and Martin Gallauer},
journal= {arXiv preprint arXiv:2009.14091},
year = {2024}
}
Comments
24 pages; v2: minor changes before publication