top
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.
@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 -