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- W4300103805 abstract "In this note we characterise all finitely generated groups elementarily equivalent to a solvable Baumslag-Solitar group BS$(1,n)$. It turns out that a finitely generated group $G$ is elementarily equivalent to BS$(1,n)$ if and only if $G$ is isomorphic to BS$(1,n)$. Furthermore, we show that two Baumslag-Solitar groups are existentially (universally) equivalent if and only if they are elementarily equivalent if and only if they are isomorphic." @default.
- W4300103805 created "2022-10-03" @default.
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- W4300103805 date "2010-02-12" @default.
- W4300103805 modified "2023-09-29" @default.
- W4300103805 title "Two Remarks on First-Order Theories of Baumslag-Solitar Groups" @default.
- W4300103805 doi "https://doi.org/10.48550/arxiv.1002.2658" @default.
- W4300103805 hasPublicationYear "2010" @default.
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