Some problems on knots, braids, and automorphism groups

We present and discuss some open problems formulated by participants of the International Workshop “Knots, Braids, and Automorphism Groups” held in Novosibirsk, 2014. Problems are related to palindromic and commutator widths of groups; properties of Brunnian braids and two-colored braids, corresponding to an amalgamation of groups; extreme properties of hyperbolic 3-orbifold groups, relations between inner and quasi-inner automorphisms of groups; and Staic's construction of symmetric cohomology of groups.