We give a unified solution to the conjugacy problem for Thompson's groups F, T, and V. The solution uses "strand diagrams, which are similar in spirit to braids and generalize tree-pair diagrams for elements of Thompson's groups. Strand diagrams are closely related to piecewise-linear functions for elements of Thompson's groups, and we use this correspondence to investigate the dynamics of elements of F. Though many of the results in this paper are known, our approach is new, and it yields elegant proofs of several old results. © 2013 Springer Science+Business Media Dordrecht

Belk, J., Matucci, F. (2014). Conjugacy and dynamics in Thompson's groups. GEOMETRIAE DEDICATA, 169(1), 239-261 [10.1007/s10711-013-9853-2].

Conjugacy and dynamics in Thompson's groups

Matucci, F
2014

Abstract

We give a unified solution to the conjugacy problem for Thompson's groups F, T, and V. The solution uses "strand diagrams, which are similar in spirit to braids and generalize tree-pair diagrams for elements of Thompson's groups. Strand diagrams are closely related to piecewise-linear functions for elements of Thompson's groups, and we use this correspondence to investigate the dynamics of elements of F. Though many of the results in this paper are known, our approach is new, and it yields elegant proofs of several old results. © 2013 Springer Science+Business Media Dordrecht
Articolo in rivista - Articolo scientifico
Conjugacy invariant; Conjugacy problem; Diagram groups; Dynamics of 1-dimensional spaces; Thompson's groups; Geometry and Topology
English
2014
169
1
239
261
open
Belk, J., Matucci, F. (2014). Conjugacy and dynamics in Thompson's groups. GEOMETRIAE DEDICATA, 169(1), 239-261 [10.1007/s10711-013-9853-2].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/218031
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