We show that for every finite subgroup G of Aut(Fn), the fixed point subcomplex X n is contractible, where Fn is the free group on n letters and Xn is the spine of “auter space” constructed by Hatcher and Vogtmann in [6]. In more categorical language, Xn = EAut(Fn). This is useful because it allows one to compute (see, for example, [7, 8]) the cohomology of normalizers or centralizers of finite...