PreprintCC0arXiv
Kernel of Scott modules and Brauer indecomposability
Abstract
Let k be an algebraically closed field of prime characteristic p. Let G be a finite group. We investigate the Brauer indecomposability of Scott kG-modules in relation to the kernel of modules. We generalize a criterion for Brauer indecomposability. We also prove that, in certain cases, Brauer indecomposability of a Scott kG-module can be lifted from that of a Scott module over a p-local subgroup.
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BibTeX
@misc{wu2026kernel,
title = {{Kernel of Scott modules and Brauer indecomposability}},
author = {Lin Wu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.05757},
eprint = {2605.05757},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.05757},
note = {CC0},
}
RIS
TY - UNPB
TI - Kernel of Scott modules and Brauer indecomposability
AU - Lin Wu
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2605.05757
UR - https://arxiv.org/abs/2605.05757
AB - Let k be an algebraically closed field of prime characteristic p. Let G be a finite group. We investigate the Brauer indecomposability of Scott kG-modules in relation to the kernel of modules. We generalize a criterion for Brauer indecomposability. We also prove that, in certain cases, Brauer indecomposability of a Scott kG-module can be lifted from that of a Scott module over a p-local subgroup.
ER -