N-determined p-compact groups

Jesper M. Møller

Fundamenta Mathematicae (2002)

  • Volume: 173, Issue: 3, page 201-300
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Jesper M. Møller. "N-determined p-compact groups." Fundamenta Mathematicae 173.3 (2002): 201-300. <http://eudml.org/doc/282744>.

@article{JesperM2002,
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.},
author = {Jesper M. Møller},
journal = {Fundamenta Mathematicae},
keywords = {Lie group; classification of -compact groups; automorphisms of -comapct groups; pseudoreflection group},
language = {eng},
number = {3},
pages = {201-300},
title = {N-determined p-compact groups},
url = {http://eudml.org/doc/282744},
volume = {173},
year = {2002},
}

TY - JOUR
AU - Jesper M. Møller
TI - N-determined p-compact groups
JO - Fundamenta Mathematicae
PY - 2002
VL - 173
IS - 3
SP - 201
EP - 300
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.
LA - eng
KW - Lie group; classification of -compact groups; automorphisms of -comapct groups; pseudoreflection group
UR - http://eudml.org/doc/282744
ER -

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