Some new examples of simple p-local compact groups

In this paper we present new examples of simple p-local compact groupsfor all odd primes. We also develop the necessary tools to show saturation, simpleness, and the non-realizability as p-compact groups or compact Lie groups, which can be applied in a more general framework.

Detalles Bibliográficos
Autores: González, Àlex, Lozano Bagén, Toni|||0000-0002-6245-3545, Ruiz Cirera, Albert|||0000-0002-1274-3122
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:206879
Acceso en línea:https://ddd.uab.cat/record/206879
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6321903
Access Level:acceso abierto
Palabra clave:P-compact groups
Infinite fusion systems
Centralizers
Fusion subsystems
Descripción
Sumario:In this paper we present new examples of simple p-local compact groupsfor all odd primes. We also develop the necessary tools to show saturation, simpleness, and the non-realizability as p-compact groups or compact Lie groups, which can be applied in a more general framework.