Abstract:
We study twisted conjugacy classes of a family of
groups which are called Houghton’s groups Hn (n ∈ N), the group
of translations of n rays of discrete points at infinity. We prove that
the Houghton’s groups Hn have the R∞ property for all n ∈ N.
Description:
Jo J. H. The R∞ property for Houghton’s groups / J. H.Jo, J.B.Lee, S.R.Lee // Algebra and Discrete Mathematics. - 2017. - Vol. 23. - Number 2. - Рp. 249 - 262