Homotopy Uniqueness of Products of Orthogonal Groups
Helmut Morgenroth
(Goettingen)
In this paper we prove the homotopy uniqueness of the classifying
space of products of orthogonal groups at the prime 2. We use methods
of Notbohm from his proof of the homotopy uniqueness of classifying spaces
of certain compact connected Lie groups at primes dividing the
order of the Weyl groups. By replacing the torus SO(2)^n by O(2)^n,
we make these methods work in our case, too.