Permutation, stabilization and decomposition
Representation Theory
2026-04-21 v1
Abstract
Informed by our understanding of the tt-geometry of permutation modules, we investigate the proper definition of the `stable permutation category' of a finite group. Then we prove that this category decomposes over cyclic and generalized quaternion groups and only in those cases.
Cite
@article{arxiv.2604.17483,
title = {Permutation, stabilization and decomposition},
author = {Paul Balmer and Martin Gallauer},
journal= {arXiv preprint arXiv:2604.17483},
year = {2026}
}
Comments
18 pages