most citedVirtually free finite-normal-subgroup-free groups are strongly verbally closed

9 citations · 14 across the 2 of their papers we have counts for

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math.GR2021★ 5 cited

Finite and nilpotent strongly verbally closed groups

Anton A. Klyachko, Veronika Yu. Miroshnichenko, Alexander Yu. Olshanskii

We show, in particular, that, if a finite group is a retract of any finite group containing as a verbally closed subgroup, then the centre of is a direct factor of .

math.GR2017★ 9 cited

Virtually free finite-normal-subgroup-free groups are strongly verbally closed

Anton A. Klyachko, Andrey M. Mazhuga, Veronika Yu. Miroshnichenko

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 v…