Symplectic groups are $N$-determined 2-compact groups
Volume 192 / 2006
Fundamenta Mathematicae 192 (2006), 121-139
MSC: Primary 55R35; Secondary 55R15.
DOI: 10.4064/fm192-2-3
Abstract
We show that for $n\ge 3$ 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.
