English

Normalizers and centralizers of subnormal subsystems of fusion systems

Group Theory 2025-02-14 v3

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.

Keywords

Cite

@article{arxiv.2109.14038,
  title  = {Normalizers and centralizers of subnormal subsystems of fusion systems},
  author = {Ellen Henke},
  journal= {arXiv preprint arXiv:2109.14038},
  year   = {2025}
}

Comments

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