The R∞ property for Houghton's groups

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2017
• Hauptverfasser: Jang Hyun Jo, Jong Bum Lee, Sang Rae Lee
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2017
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/156016
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.