Open Access
2019 Some New Examples of Simple $p$-Local Compact Groups
Alex González, Toni Lozano, Albert Ruiz
Publ. Mat. 63(2): 445-489 (2019). DOI: 10.5565/PUBLMAT6321903


In this paper we present new examples of simple $p$-local compact groups for 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.


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Alex González. Toni Lozano. Albert Ruiz. "Some New Examples of Simple $p$-Local Compact Groups." Publ. Mat. 63 (2) 445 - 489, 2019.


Received: 13 September 2017; Revised: 30 November 2017; Published: 2019
First available in Project Euclid: 28 June 2019

zbMATH: 07094861
MathSciNet: MR3980932
Digital Object Identifier: 10.5565/PUBLMAT6321903

Primary: 20D20 , 55R35 , 55R40 , 57T10

Keywords: $p$-compact groups , centralizers , fusion subsystems , infinite fusion systems

Rights: Copyright © 2019 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.63 • No. 2 • 2019
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