Low dimensional projective indecomposable modules for Chevalley groups in defining characteristic
Group Theory
2012-02-08 v1
Abstract
The paper studies lower bounds for the dimensions of projective indecomposable modules for Chevalley groups G in defining characteristic p. The main result extending earlier one by Malle and Weigel (2008) determines the modules in question of dimension equal to the order of a Sylow p-subgroup of G. We also substantially generalize a result by Ballard (1978) on lower bounds for the dimensions of projective indecomposable modules and find lower bounds in some cases where Ballard's bounds are vacuous.
Keywords
Cite
@article{arxiv.1202.1308,
title = {Low dimensional projective indecomposable modules for Chevalley groups in defining characteristic},
author = {Alexandre E. Zalesski},
journal= {arXiv preprint arXiv:1202.1308},
year = {2012}
}