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.

Grazian, V., Henke, E. (2022). Kernels of localities. FORUM OF MATHEMATICS. SIGMA, 10(2022) [10.1017/fms.2022.59].

Kernels of localities

Grazian, V;
2022

Abstract

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.
Articolo in rivista - Articolo scientifico
20D20; 20E25; 55R35
English
Grazian, V., Henke, E. (2022). Kernels of localities. FORUM OF MATHEMATICS. SIGMA, 10(2022) [10.1017/fms.2022.59].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/393090
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