• openAccess   Nilpotency of normal subgroups having two G-class sizes 

      Alemany, Elena; Beltrán, Antonio; Felipe, Maria José American Mathematical Society (2010-12-22)
      Let G be a finite group. If N is a normal subgroup which has exactly two G-conjugacy class sizes, then N is nilpotent. In particular, we show that N is abelian or is the product of a p-group P by a central subgroup of G. ...