English

Centralizers of normal subsystems revisited

Group Theory 2018-07-05 v2

Abstract

In this paper we revisit two concepts which were originally introduced by Aschbacher and are crucial in the theory of saturated fusion systems: Firstly, we give a new approach to defining the centralizer of a normal subsystem. Secondly, we revisit the construction of the product of two normal subsystems which centralize each other.

Cite

@article{arxiv.1801.05256,
  title  = {Centralizers of normal subsystems revisited},
  author = {Ellen Henke},
  journal= {arXiv preprint arXiv:1801.05256},
  year   = {2018}
}

Comments

24 pages, to appear in the J. Algebra

R2 v1 2026-06-22T23:46:44.243Z