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

Jang Hyun Jo; Jong Bum Lee; Sang Rae Lee

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

Group Theory 2015-03-18 v3

Authors: Jang Hyun Jo , Jong Bum Lee , Sang Rae Lee

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 $n\in \mathbb{N}$ .

Keywords

conjugacy classes in groups

Cite

@article{arxiv.1412.8767,
  title  = {The $R_{\infty}$ property for Houghton's groups},
  author = {Jang Hyun Jo and Jong Bum Lee and Sang Rae Lee},
  journal= {arXiv preprint arXiv:1412.8767},
  year   = {2015}
}

Comments

Changed the title and abstract. Added new results and references

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