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Twisted conjugacy
classes in R. Thompson’s group F
Collin Bleak, Alexander Fel’shtyn and Daciberg Gonçalves |
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Vol. 238 (2008), No. 1, 1–6
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Abstract |
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In this article, we prove that any automorphism of R. Thompson’s group F has infinitely many twisted conjugacy classes. The result follows from the work of Brin, together with standard facts about R. Thompson’s group F, and elementary properties of the Reidemeister numbers. |
Keywords
Reidemeister number, twisted conjugacy class, R. Thompson’s
Group F, R∞
property
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Mathematical Subject Classification 2000
Primary: 20E45, 37C25, 55M20
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Milestones
Received: 22 March 2008
Revised: 25 June 2008
Accepted: 26 June 2008
Published: 1 November 2008
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Authors |
| Collin Bleak | |
| 203 Avery Hall Department of Mathematics University of Nebraska at Lincoln Lincoln, NE 68588-0130 USA |
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| Alexander Fel’shtyn | |
| Instytut Matematyki Uniwersytet Szczecinski ul. Wielkopolska 15 70-451 Szczecin Poland |
Boise State University 1910 University Drive Boise, ID 83725 United States |
| Daciberg Gonçalves | |
| Departamento de Matemática -
IME-USP Caixa Postal 66.281 - Ag. Cidade de São Paulo 05315-970 São Paulo, SP Brazil |
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