@techreport{freedman2002diameters, author = {Freedman, Michael and Kitaev, Alexei and Lurie, Jacob}, title = {Diameters of Homogeneous Spaces}, year = {2002}, month = {December}, abstract = {Let G be a compact connected Lie group with trivial center. Using the action of G on its Lie algebra, we define an operator norm | | G which induces a bi-invariant metric d G (x,y) = | Ad(yx -1 )| G on G . We prove the existence of a constant Β = .12 (independent of G ) such that for any closed subgroup H ⊆ G , the diameter of the quotient G/H (in the induced metric) is ≥ Β .}, url = {http://approjects.co.za/?big=en-us/research/publication/diameters-of-homogeneous-spaces/}, pages = {13}, number = {MSR-TR-2002-119}, }