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

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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.",

keywords = "Centralizers, Fusion subsystems, Infinite fusion systems, P-compact groups",

author = "Alex Gonz{\'a}lez and Toni Lozano and Albert Ruiz",

year = "2019",

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AU - Ruiz, Albert

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N2 - © 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.

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

M3 - Article

VL - 63

SP - 445

EP - 489

JO - Publicacions Matematiques

JF - Publicacions Matematiques

SN - 0214-1493

ER -

Some new examples of simple p-local compact groups

Abstract

Keywords

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