Twisted conjugacy classes in R. Thompson's group F

C Bleak; A Fel'shtyn; DL Goncalves

doi:10.2140/pjm.2008.238.1

Twisted conjugacy classes in R. Thompson's group F

C Bleak, A Fel'shtyn, DL Goncalves

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Number of pages	6
Journal	Pacific Journal of Mathematics
Volume	238
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2008.238.1
Publication status	Published - 1 Nov 2008

Keywords

R-infinity property
R. Thompson's group F
Reidemeister number
Twisted conjugacy class

Access to Document

10.2140/pjm.2008.238.1

Cite this

@article{fc7ec46b523d4ba5848e593614a9a325,

title = "Twisted conjugacy classes in R. Thompson's group F",

abstract = "In this article, we prove that any automorphism of R. Thompson{\textquoteright}s group F has infinitely many twisted conjugacy classes. The result follows from the work of Brin, together with standard facts about R. Thompson{\textquoteright}s group F, and elementary properties of the Reidemeister numbers.",

keywords = "R-infinity property, R. Thompson's group F, Reidemeister number, Twisted conjugacy class",

author = "C Bleak and A Fel'shtyn and DL Goncalves",

year = "2008",

month = nov,

day = "1",

doi = "10.2140/pjm.2008.238.1",

language = "English",

volume = "238",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

number = "1",

}

TY - JOUR

T1 - Twisted conjugacy classes in R. Thompson's group F

AU - Bleak, C

AU - Fel'shtyn, A

AU - Goncalves, DL

PY - 2008/11/1

Y1 - 2008/11/1

N2 - 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.

AB - 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.

KW - R-infinity property

KW - R. Thompson's group F

KW - Reidemeister number

KW - Twisted conjugacy class

U2 - 10.2140/pjm.2008.238.1

DO - 10.2140/pjm.2008.238.1

M3 - Article

SN - 0030-8730

VL - 238

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -

Twisted conjugacy classes in R. Thompson's group F

Abstract

Keywords

Access to Document

Fingerprint

Cite this