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- W4295278170 abstract "Let $G=G_1astdotsast G_kast F$ be a countable group which splits as a free product, where all groups $G_i$ are freely indecomposable and not isomorphic to $mathbb{Z}$, and $F$ is a finitely generated free group. If for all $iin{1,dots,k}$, both $G_i$ and its outer automorphism group $text{Out}(G_i)$ satisfy the Tits alternative, then $text{Out}(G)$ satisfies the Tits alternative. As an application, we prove that the Tits alternative holds for outer automorphism groups of right-angled Artin groups, and of torsion-free groups that are hyperbolic relative to a finite family of virtually polycyclic groups." @default.
- W4295278170 created "2022-09-12" @default.
- W4295278170 creator A5053072261 @default.
- W4295278170 date "2014-08-03" @default.
- W4295278170 modified "2023-09-26" @default.
- W4295278170 title "The Tits alternative for the automorphism group of a free product" @default.
- W4295278170 hasPublicationYear "2014" @default.
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