Посилання:The R∞ property for Houghton's groups / Jang Hyun Jo, Jong Bum Lee, Sang Rae Lee // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 249–262. — Бібліогр.: 24 назв. — англ.
Підтримка:The second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(No. 2013R1A1A2058693).
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.