Fusion systems with some sporadic J-components
Group Theory
2021-04-15 v3
Abstract
Aschbacher's program for the classification of simple fusion systems of "odd" type at the prime 2 has two main stages: the classification of 2-fusion systems of subintrinsic component type and the classification of 2-fusion systems of J-component type. We make a contribution to the latter stage by classifying 2-fusion systems with a J-component isomorphic to the 2-fusion systems of several sporadic groups under the assumption that the centralizer of such a component is cyclic.
Cite
@article{arxiv.1605.04615,
title = {Fusion systems with some sporadic J-components},
author = {Justin Lynd and Julianne Rainbolt},
journal= {arXiv preprint arXiv:1605.04615},
year = {2021}
}
Comments
v2: minor corrections in response to anonymous referee report; v3: Theorem 1.2 has been removed due to a error in Lemma 8.22 of v2. The results of v2, Sect. 3 and 8 will appear elsewhere. Additional substantial fixes