On homological stability for orthogonal groups and special orthogonal   groups
  The problem of homological stability helps us to catch the structure of group homology. We calculate homological stability of special orthogonal groups, and we also calculate the stability of orthogonal groups with determinant-twisted coefficients under a certain good situation. We also get some results about the structure of these homology. 
Masayuki Nakada
math.KT math.AT