Simplicity of fusion systems of finite simple groups

We determine for which known finite simple groups G and which primes p the p-fusion system of G is simple. This means first collecting together the results that were already known (and correcting two errors made in an earlier study of this question), and then handling the remaining cases. At the sam...

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Detalles Bibliográficos
Autores: Oliver, B., Ruiz, A.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/531303
Acceso en línea:http://hdl.handle.net/2072/531303
Access Level:acceso abierto
Palabra clave:Automorphisms
Finite simple groups
Fusion systems
51
Descripción
Sumario:We determine for which known finite simple groups G and which primes p the p-fusion system of G is simple. This means first collecting together the results that were already known (and correcting two errors made in an earlier study of this question), and then handling the remaining cases. At the same time, we develop some new tools to use when determining Op'(F) for arbitrary saturated fusion systems. © 2021 American Mathematical Society.