N-determined p-compact groups

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

SN - 0016-2736

VL - 173

SP - 201

EP - 300

JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

IS - 3

ER -