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.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:90571 |
| Date | 04 April 2024 |
| Creators | Grazian, Valentina, Henke, Ellen |
| Publisher | Cambridge Univ. Press |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | 2050-5094, e74, 10.1017/fms.2022.59, info:eu-repo/grantAgreement/UK Research and Innovation/EPSRC/EP/R010048/1//Fusion Systems and Localities, info:eu-repo/grantAgreement/UK Research and Innovation/EPSRC/EP/R014604/1/ |
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