English

N-determined 2-compact groups

Algebraic Topology 2012-03-28 v2

Abstract

We first formulate a general scheme for the classification of 2-compact groups in terms of maximal torus normalizer pairs. Applying this scheme, we show that all connected and some non-connected 2-compact groups are N-determined. We also compute automorphism groups in many cases. As an application we confirm the splitting conjecture formulated by Dwyer and Wilkerson.

Keywords

Cite

@article{arxiv.math/0503371,
  title  = {N-determined 2-compact groups},
  author = {Jesper M. Møller},
  journal= {arXiv preprint arXiv:math/0503371},
  year   = {2012}
}