A UNIQUENESS RESULT FOR ORTHOGONAL GROUPS AS 2-COMPACT GROUPS
D. Notbohm

Two connected compact Lie groups are isomorphic if and only if 
their maximal torus normalizer are isomorphic. It is conjectured that 
this result generalizes to \pcg s. Here, we prove the
generalization for  orthogonal groups $O(n)$, the special orthogonal groups $SO(2k+1)$
and the spinor groups $Spin(2k+1)$ considered as 2-compact groups.