Normalizers and centralizers of subnormal subsystems of fusion systems

Abstract

Every saturated fusion system corresponds to a group-like structure called a regular locality. In this paper we study (suitably defined) normalizers and centralizers of partial subnormal subgroups of regular localities. This leads to a reasonable notion of normalizers and centralizers of subnormal subsystems of fusion systems.

arXiv comment39 pages. Typo in last example corrected compared to version published in J. London Math. Soc

References in corpus (3)

• Reduced, tame and exotic fusion systems
• Subcentric linking systems
• Extensions of homomorphisms between localities