paper

Normalizers and centralizers of subnormal subsystems of fusion systems

arXiv:2109.14038 · doi:10.1112/jlms.70048

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.

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