2021/09/22 by Grazian, Valentina, Henke, Ellen
#20D20 #20E25 #55R35 #FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.2109.10962
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.