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- W4298284975 abstract "We prove that given a finite rank free group $mathbb{F}$ of rank $geq 3$ and two exponentially growing outer automorphisms $psi$ and $phi$ with dual lamination pairs $Lambda^pm_psi$ and $Lambda^pm_phi$ associated to them, and given a free factor system $mathcal{F}$ with co-edge number $geq 2$, $phi, psi $ each preserving $mathcal{F}$, so that the pair $(phi, Lambda^pm_phi), (psi, Lambda^pm_psi)$ is independent relative to $mathcal{F}$, then there $exists$ $Mgeq 1$, such that for any integer $m,n geq M$, the group $langle phi^m, psi^n rangle$ is a free group of rank 2, all of whose non-trivial elements except perhaps the powers of $phi, psi$ and their conjugates, are fully irreducible relative to $mathcal{F}$ with a lamination pair which fills relative to $mathcal{F}$. In addition if both $Lambda^pm_phi, Lambda^pm_psi$ are non-geometric then this lamination pair is also non-geometric. We also prove that the extension groups induced by such subgroups will be relatively hyperbolic under some natural conditions." @default.
- W4298284975 created "2022-10-01" @default.
- W4298284975 creator A5080692298 @default.
- W4298284975 date "2018-02-15" @default.
- W4298284975 modified "2023-09-28" @default.
- W4298284975 title "Relatively irreducible free subroups in Out($mathbb{F}$)" @default.
- W4298284975 doi "https://doi.org/10.48550/arxiv.1802.05705" @default.
- W4298284975 hasPublicationYear "2018" @default.
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