Sharpness for the Benson-Solomon fusion systems
Algebraic Topology
2024-11-04 v2 Category Theory
Group Theory
Representation Theory
Abstract
We develop tools to prove D\'iaz and Park's sharpness conjecture (see [8]) for fusion systems admitting tame families of fusion subsystems (see Theorem A). We use such tools to prove the conjecture for all Benson-Solomon fusion systems (see Theorem B) thus completing the work started by Henke, Libman and Lynd in [14, Theorems 1.1 and 1.4].
Cite
@article{arxiv.2312.11106,
title = {Sharpness for the Benson-Solomon fusion systems},
author = {Marco Praderio Bova},
journal= {arXiv preprint arXiv:2312.11106},
year = {2024}
}
Comments
Error in proof of proposition 5.10 invalidates it as well as Theorems A and C. Unable to fix such error