  Shitov recently gave a counterexample to Comon's conjecture that the
symmetric tensor rank and tensor rank of a symmetric tensor are the same. In
this paper we show that an analog of Comon's conjecture for the G-stable rank
introduced by Derksen is true: the symmetric G-stable rank and G-stable rank of
a symmetric tensor are the same. We also show that the log-canonical threshold
of a singularity is bounded by the G-stable rank of the defining ideal.
