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

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 $n\in \mathbb{N}$.

Changed the title and abstract. Added new results and references

References in corpus (1)

• Geometry of Houghton's Groups