Symplectic groups are N-determined 2-compact groups
Algebraic Topology
2018-08-08 v1
Abstract
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.
Cite
@article{arxiv.math/0503376,
title = {Symplectic groups are N-determined 2-compact groups},
author = {A. Vavpetic and A. Viruel},
journal= {arXiv preprint arXiv:math/0503376},
year = {2018}
}