N-determined p-compact groups

Jesper M. Møller

doi:10.4064/fm173-3-1

N-determined p-compact groups

Jesper M. Møller^*

^*Corresponding author for this work

Department of Mathematical Sciences

8 Citations (Scopus)

Abstract

One of the major problems in the homotopy theory of finite loop spaces is the classification problem for p-compact groups. It has been proposed to use the maximal torus normalizer (which at an odd prime essentially means the Weyl group) as the distinguishing invariant. We show here that the maximal torus normalizer does indeed classify many p-compact groups up to isomorphism when p is an odd prime.

Original language	English
Journal	Fundamenta Mathematicae
Volume	173
Issue number	3
Pages (from-to)	201-300
ISSN	0016-2736
DOIs	https://doi.org/10.4064/fm173-3-1
Publication status	Published - 1 Jan 2002

Keywords

Automorphisms of p-compact groups
Classification of p-compact groups
Left derived functors of the inverse limit functor
Lie group
Quillen category
Reflection subgroup
Spaces with polynomial cohomology

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AB - One of the major problems in the homotopy theory of finite loop spaces is the classification problem for p-compact groups. It has been proposed to use the maximal torus normalizer (which at an odd prime essentially means the Weyl group) as the distinguishing invariant. We show here that the maximal torus normalizer does indeed classify many p-compact groups up to isomorphism when p is an odd prime.

KW - Automorphisms of p-compact groups

KW - Classification of p-compact groups

KW - Left derived functors of the inverse limit functor

KW - Lie group

KW - Quillen category

KW - Reflection subgroup

KW - Spaces with polynomial cohomology

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DO - 10.4064/fm173-3-1

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EP - 300

JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

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ER -

N-determined p-compact groups

Abstract

Keywords

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