  We give a quadratic lower bound on the dimension of the space of conjugacy
classes of subgroups of SL(n,R) that are limits under conjugacy of the diagonal
subgroup. We give the first explicit examples of abelian n-1 dimensional
subgroups of SL(n,R) which are not such a limit, however all such abelian
groups are limits of the diagonal group iff n < 5.
