N-determined p-compact groups
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N-determined p-compact groups. / Møller, Jesper M.
In: Fundamenta Mathematicae, Vol. 173, No. 3, 01.01.2002, p. 201-300.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - N-determined p-compact groups
AU - Møller, Jesper M.
PY - 2002/1/1
Y1 - 2002/1/1
N2 - 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.
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
U2 - 10.4064/fm173-3-1
DO - 10.4064/fm173-3-1
M3 - Journal article
AN - SCOPUS:0036350366
VL - 173
SP - 201
EP - 300
JO - Fundamenta Mathematicae
JF - Fundamenta Mathematicae
SN - 0016-2736
IS - 3
ER -
ID: 204118334