Publicacions Matemàtiques

Some New Examples of Simple $p$-Local Compact Groups

Alex González, Toni Lozano, and Albert Ruiz

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Abstract

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.

Article information

Source
Publ. Mat., Volume 63, Number 2 (2019), 445-489.

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

Permanent link to this document
https://projecteuclid.org/euclid.pm/1561687232

Digital Object Identifier
doi:10.5565/PUBLMAT6321903

Mathematical Reviews number (MathSciNet)
MR3980932

Zentralblatt MATH identifier
07094861

Subjects
Primary: 55R35: Classifying spaces of groups and $H$-spaces 55R40: Homology of classifying spaces, characteristic classes [See also 57Txx, 57R20] 20D20: Sylow subgroups, Sylow properties, $\pi$-groups, $\pi$-structure 57T10: Homology and cohomology of Lie groups

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

Citation

González, Alex; Lozano, Toni; Ruiz, Albert. Some New Examples of Simple $p$-Local Compact Groups. Publ. Mat. 63 (2019), no. 2, 445--489. doi:10.5565/PUBLMAT6321903. https://projecteuclid.org/euclid.pm/1561687232


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