Geodesic
The $R_{\infty}$ property for Houghton's groups
Algebra and discrete mathematics, Tome 23 (2017) no. 2, pp. 249-262.

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We study twisted conjugacy classes of a family of groups which are called Houghton's groups $\mathcal{H}_n$ ($n\in\mathbb{N}$), the group of translations of $n$ rays of discrete points at infinity. We prove that the Houghton's groups $\mathcal{H}_n$ have the $R_\infty$ property for all $n\in \mathbb{N}$.
Keywords: Houghton's group, $R_\infty$ property, Reidemeister number. 
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Jang Hyun Jo; Jong Bum Lee; Sang Rae Lee. The $R_{\infty}$ property for Houghton's groups. Algebra and discrete mathematics, Tome 23 (2017) no. 2, pp. 249-262. http://geodesic.mathdoc.fr/item/ADM_2017_23_2_a7/

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