Free-by-cyclic groups are equationally Noetherian
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DOI: 10.1007/s00208-025-03096-8
Abstract: A group G is said to be equationally Noetherian if every system of equations in G is equivalent to a finite subsystem. We show that all free-by-cyclic groups are equationally Noetherian. As a corollary, we… read more here.
Keywords: free cyclic; groups equationally; cyclic groups; equationally noetherian ... See more keywords
The visual boundary of hyperbolic free-by-cyclic groups
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DOI: 10.1007/s11856-021-2191-4
Abstract: Let $\phi$ be an atoroidal outer automorphism of the free group $F_n$. We study the Gromov boundary of the hyperbolic group $G_{\phi} = F_n \rtimes_{\phi} \mathbb{Z}$. We explicitly describe a family of embeddings of the… read more here.
Keywords: free cyclic; hyperbolic free; visual boundary; cyclic groups ... See more keywords