Symplectic groups are N-determined 2-compact groups

Details Symplectic groups are N-determined 2-compact groups Symplectic groups are N-determined 2-compact groups

2005-03-18

arxiv.org/abs/math/0503376v1

Mathematics

Algebraic Topology

Scientific paper

We show that for n>=3 the symplectic group Sp(n) is as a 2-compact group
determined up to isomorphism by the isomorphism type of its maximal torus
normalizer. This allows us to determine the integral homotopy type of Sp(n)
among connected finite loop spaces with maximal torus.

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