Virtually free finite-normal-subgroup-free groups are strongly verbally closed
arXiv:1712.03406 · doi:10.1016/j.jalgebra.2018.05.028
Abstract
Any virtually free group containing no non-trivial finite normal subgroup (e.g., the infinite dihedral group) is a retract of any finitely generated group containing as a verbally closed subgroup.
6 pages. V2: minor corrections. V3: misprint corrections. A Russian version of this paper is at http://halgebra.math.msu.su/staff/klyachko/papers.htm