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arXiv · 1412.8767

The $R_{\infty}$ property for Houghton's groups

Jang Hyun Jo·Jong Bum Lee·Sang Rae Lee
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Abstract

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 $n\in \mathbb{N}$.

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Jang Hyun Jo, Jong Bum Lee, Sang Rae Lee. 2015-03-17. The $R_{\infty}$ property for Houghton's groups. https://arxiv.org/abs/1412.8767

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