Finite and nilpotent strongly verbally closed groups
We show, in particular, that, if a finite group $H$ is a retract of any finite group containing $H$ as a verbally closed subgroup, then the centre of $H$ is a direct factor of $H$.
math.GR↗
arXiv subjects
Veronika Yu. Miroshnichenko
Publications and source records attributed to Veronika Yu. Miroshnichenko.
Virtually free finite-normal-subgroup-free groups are strongly verbally closed
Any virtually free group $H$ containing no non-trivial finite normal subgroup (e.g., the infinite dihedral group) is a retract of any finitely generated group containing $H$ as a verbally closed subgroup.
math.GR↗