  The present paper is devoted to investigation of the isometry group of the
Gromov-Hausdorff space, i.e., the metric space of compact metric spaces
considered up to an isometry and endowed with the Gromov-Hausdorff metric. The
main goal is to present a proof of the following theorem by George Lowther
(2015): The isometry group of the Gromov-Hausdorff space is trivial.
Unfortunately, the author himself has not publish an accurate text for 2 years
passed from the publication of draft (that is full of excellent ideas mixed
with unproved and wrong statements) in the https://mathoverflow.net/ blog (see
the exact reference in he bibliography).
