N-determined 2-compact groups

Details N-determined 2-compact groups N-determined 2-compact groups

2005-03-17

arxiv.org/abs/math/0503371v2

Fund. Math. 196 (2007), no. 1, 1-90

Mathematics

Algebraic Topology

Scientific paper

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.

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