Jordan groups and automorphism groups of algebraic varieties
This is an expanded version of my talk at the workshop
``Groups of Automorphisms in Birational and Affine Geometry'',
October 29–November 3, 2012, Levico Terme, Italy.
The first section is focused on Jordan groups in abstract setting,
the second on that in the settings of automorphisms groups and
groups of birational self-maps of algebraic varieties.
The appendix is an expanded version of my notes on open
problems posted on the site of this workshop.
It contains formulations of some open problems and
the relevant comments.