Title: Fusion systems with some sporadic J-components
Authors: Justin Lynd and Julianne Rainbolt

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. 

Status: preprint