Geodesic
Verbally closed virtually free subgroups
Sbornik. Mathematics, Tome 209 (2018) no. 6, pp. 850-856
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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. Bibliography: 14 titles.
Keywords: verbally closed subgroups, algebraically closed subgroups, retracts. 
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Ant. A. Klyachko; A. M. Mazhuga. Verbally closed virtually free subgroups. Sbornik. Mathematics, Tome 209 (2018) no. 6, pp. 850-856. http://geodesic.mathdoc.fr/item/SM_2018_209_6_a4/

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