Reduced Fusion Systems Over 2-Groups of Sectional Rank at Most 4

Bob Oliver, LAGA, Institut Galilee, Universite Paris, Villetaneuse, France.

• IntroductionBackground on fusion systemsNormal dihedral and quaternion subgroupsEssential subgroups in $2$-groups of sectional rank at most $4$Fusion systems over $2$-groups of type $G_2(q)$Dihedral and semidihedral wreath productsFusion systems over extensions of $UT_3(4)$Appendix A. Background results about groupsAppendix B. Subgroups of $2$-groups of sectional rank $4$Appendix C. Some explicit $2$-groups of sectional rank $4$Appendix D. Actions on $2$-groups of sectional rank at most $4$Bibliography