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- W4320166707 abstract "S. Gersten announced an algorithm that takes as input two finite sequences $vec K=(K_1,dots, K_N)$ and $vec K'=(K_1',dots, K_N')$ of conjugacy classes of finitely generated subgroups of $F_n$ and outputs: (1) $mathsf{YES}$ or $mathsf{NO}$ depending on whether or not there is an element $thetain mathsf{Out}(F_n)$ such that $theta(vec K)=vec K'$ together with one such $theta$ if it exists and (2) a finite presentation for the subgroup of $mathsf{Out}(F_n)$ fixing $vec K$. S. Kalajdv{z}ievski published a verification of this algorithm. We present a different algorithm from the point of view of Culler-Vogtmann's Outer space. New results include that the subgroup of $mathsf{Out}(F_n)$ fixing $vec K$ is of type $mathsf{VF}$, an equivariant version of these results, an application, and a unified approach to such questions." @default.
- W4320166707 created "2023-02-13" @default.
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- W4320166707 date "2020-09-21" @default.
- W4320166707 modified "2023-09-29" @default.
- W4320166707 title "A McCool Whitehead type theorem for finitely generated subgroups of $mathsf{Out}(F_n)$" @default.
- W4320166707 doi "https://doi.org/10.48550/arxiv.2009.10052" @default.
- W4320166707 hasPublicationYear "2020" @default.
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