The R∞ property for Houghton's groups

• Published in: Algebra and Discrete Mathematics
• Date: 2017
• ISSN: 1726-3255
• Main Authors: Jang Hyun Jo, Jong Bum Lee, Sang Rae Lee
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156016
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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.