Virtually free finite-normal-subgroup-free groups are strongly verbally closed
classification
🧮 math.GR
keywords
groupclosedcontainingfreesubgroupverballyvirtuallydihedral
read the original abstract
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.
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