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arXiv · 1702.07761

Verbally closed virtually free subgroups

Anton A. Klyachko·Andrey M. Mazhuga
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Abstract

A theorem of Myasnikov and Roman'kov says that any verbally closed subgroup of a finitely generated free group is a retract. We prove that all free (and many virtually free) verbally closed subgroups are retracts in any finitely generated group.

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Anton A. Klyachko, Andrey M. Mazhuga. 2023-02-12. Verbally closed virtually free subgroups. https://doi.org/10.1070/sm8942

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