Strongly real special 2-groups
  Strongly real groups and totally orthogonal groups form two important subclasses of real groups. In this article we give a characterization of strongly real special 2-groups. This characterization is in terms of quadratic maps over fields of characteristic 2. We then provide examples of groups which are in one subclass and not the other. 
Dilpreet Kaur, Amit Kulshrestha
math.GR math.RT