Talk:Special group (finite group theory)

Is the definition correct?
Our page extra special group claims that groups "whose center, derived subgroup, and Frattini subgroup are all equal are called special groups," without mentioning the Fitting subgroup nor elementary abelian groups. Knowing only the basics of finite group theory, which page is right? (Or maybe those two definitions are equivalent and I just don't see it?) &mdash; Tobias Bergemann (talk) 10:06, 1 October 2010 (UTC)