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arXiv · 2109.10962

Kernels of Localities

Valentina Grazian·Ellen Henke
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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.

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Valentina Grazian, Ellen Henke. 2021-09-22. Kernels of Localities. https://arxiv.org/abs/2109.10962

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