Polish topologies for graph products of cyclic groups
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DOI: 10.1007/s11856-018-1765-2
Abstract: We give a complete characterization of the graph products of cyclic groups admitting a Polish group topology, and show that they are all realizable as the group of automorphisms of a countable structure. In particular,… read more here.
Keywords: polish topologies; graph products; topology; cyclic groups ... 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
Difference bases in cyclic groups
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DOI: 10.1142/s0219498819500816
Abstract: A subset [Formula: see text] of an Abelian group [Formula: see text] is called a difference basis of [Formula: see text] if each element [Formula: see text] can be written as the difference [Formula: see… read more here.
Keywords: formula see; see text; difference; cyclic groups ... See more keywords