Kernels of Localities
Group Theory
2022-08-17 v2
Abstract
We state a sufficient condition for a fusion system to be saturated. This is then used to investigate localities with kernels, i.e. localities which are (in a particular way) extensions of groups by localities. As an application of these results, we define and study certain products in fusion systems and localities, thus giving a new method to construct saturated subsystems of fusion systems.
Keywords
Cite
@article{arxiv.2109.10962,
title = {Kernels of Localities},
author = {Valentina Grazian and Ellen Henke},
journal= {arXiv preprint arXiv:2109.10962},
year = {2022}
}
Comments
39 pages; appendix on normal pairs of transporter systems added in v2; accepted to Forum Math. Sigma