The $R_{infty}$ property for Houghton's groups Academic Article uri icon


  • We study twisted conjugacy classes of a family of groups which are called Houghton's groups $mathcal{H}_n$ ($n inmathbb{N}$), 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 $nin mathbb{N}$.

author list (cited authors)

  • Jo, J. H., Lee, J. B., & Lee, S. R.

complete list of authors

  • Jo, Jang Hyun||Lee, Jong Bum||Lee, Sang Rae

publication date

  • January 1, 2014 11:11 AM