Realizing Finite Groups as Automizers
Group Theory
2022-03-29 v1
Abstract
It is shown that any finite group is realizable as the automizer in a finite perfect group of an abelian subgroup whose conjugates generate . The construction uses techniques from fusion systems on arbitrary finite groups, most notably certain realization results for fusion systems of the type studied originally by Park.
Cite
@article{arxiv.2203.14413,
title = {Realizing Finite Groups as Automizers},
author = {Sylvia Bayard and Justin Lynd},
journal= {arXiv preprint arXiv:2203.14413},
year = {2022}
}