Blocks whose defect groups are Suzuki $2$-groups
Group Theory
2024-09-16 v2 Representation Theory
Abstract
We classify up to Morita equivalence all blocks whose defect groups are Suzuki -groups. The classification holds for blocks over a suitable discrete valuation ring as well as for those over an algebraically closed field, and in fact holds up to basic Morita equivalence. As a consequence Donovan's conjecture holds for Suzuki -groups. A corollary of the proof is that Suzuki Sylow -subgroups of finite groups with no nontrivial odd order normal subgroup are trivial intersection.
Cite
@article{arxiv.2401.04028,
title = {Blocks whose defect groups are Suzuki $2$-groups},
author = {Charles W. Eaton},
journal= {arXiv preprint arXiv:2401.04028},
year = {2024}
}