Some new examples of simple p-local compact groups

Alex González; Toni Lozano; Albert Ruiz

doi:https://doi.org/10.5565/PUBLMAT6321903

Some new examples of simple p-local compact groups

Alex González, Toni Lozano, Albert Ruiz

Research output: Contribution to journal › Article › Research

Abstract

© 2019 Universitat Autonoma de Barcelona. All rights reserved. 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.

Original language	English
Pages (from-to)	445-489
Journal	Publicacions Matematiques
Volume	63
DOIs	https://doi.org/10.5565/PUBLMAT6321903
Publication status	Published - 1 Jan 2019

Keywords

Centralizers
Fusion subsystems
Infinite fusion systems
P-compact groups

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https://doi.org/10.5565/PUBLMAT6321903

https://ddd.uab.cat/record/206879

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title = "Some new examples of simple p-local compact groups",

abstract = "{\textcopyright} 2019 Universitat Autonoma de Barcelona. All rights reserved. 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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AB - © 2019 Universitat Autonoma de Barcelona. All rights reserved. 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.

KW - Centralizers

KW - Fusion subsystems

KW - Infinite fusion systems

KW - P-compact groups

U2 - https://doi.org/10.5565/PUBLMAT6321903

DO - https://doi.org/10.5565/PUBLMAT6321903

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EP - 489

JO - Publicacions Matematiques

JF - Publicacions Matematiques

SN - 0214-1493

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