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arXiv · 1712.03406

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

Anton A. Klyachko·Andrey M. Mazhuga·Veronika Yu. Miroshnichenko
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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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Anton A. Klyachko, Andrey M. Mazhuga, Veronika Yu. Miroshnichenko. 2017-12-09. Virtually free finite-normal-subgroup-free groups are strongly verbally closed. https://doi.org/10.1016/j.jalgebra.2018.05.028

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