English

Projective indecomposable permutation modules

Representation Theory 2022-05-26 v1 Group Theory

Abstract

We investigate finite non-Abelian simple groups GG for which the projective cover of the trivial module coincides with the permutation module on a subgroup and classify all cases unless GG is of Lie type in defining characteristic.

Keywords

Cite

@article{arxiv.2205.12553,
  title  = {Projective indecomposable permutation modules},
  author = {Gunter Malle and Geoffrey R. Robinson},
  journal= {arXiv preprint arXiv:2205.12553},
  year   = {2022}
}
R2 v1 2026-06-24T11:27:59.946Z