Geodesic
Kernels of localities
Forum of Mathematics, Sigma, Tome 10 (2022)

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We state a sufficient condition for a fusion system to be saturated. This is then used to investigate localities with kernels: that is, localities that 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. 
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     author = {Valentina Grazian and Ellen Henke},
     title = {Kernels of localities},
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Valentina Grazian; Ellen Henke. Kernels of localities. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.59

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