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20.59 (2022)

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A subgroup $H$ is called a virtual retract of a group $G$ if $H$ is a retract of a finite-index subgroup of $G$. Is it true that every finitely generated subgroup of a finitely generated virtually free group is a virtual retract?

For motivation and partial results see (A. Minasyan, Int. Math. Res. Notes, 2021, no. 17 (2021), 13434–13477).

Contributor: A. Minasyan

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