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Topologically enhanced exciton transport. [PDF]
Nat CommunThompson JJP +3 more
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Finiteness Properties of the Braided Thompsons Groups and the Brin-Thompson Groups
, 2015 openaire +1 more source
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Random generation of Thompson group F
Journal of Algebra, 2022The paper under review studies random generation of Thompson's group \(\mathsf{F}\) using two different probabilistic models: the sum model and the max model (see [\textit{S. Cleary} et al., Groups Geom. Dyn. 4, No. 1, 91--126 (2010; Zbl 1226.20034)]).
Gili Golan Polak
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Journal of Knot Theory and Its Ramifications, 2023
We introduce the notion of the framed Thompson group, which can be seen as a categorification of the ordinary Thompson group, and we show how framed links can be obtained from elements of the framed Thompson group.
Kontogeorgis, Aristides +1 more
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We introduce the notion of the framed Thompson group, which can be seen as a categorification of the ordinary Thompson group, and we show how framed links can be obtained from elements of the framed Thompson group.
Kontogeorgis, Aristides +1 more
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Quasi-isometric Embeddings from Generalised Thompson’s Groups to Thompson’s Group T
Tokyo Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cockcroft Properties of Thompson’s Group
Canadian Mathematical Bulletin, 2000AbstractIn a study of the word problem for groups, R. J. Thompson considered a certain group F of self-homeomorphisms of the Cantor set and showed, among other things, that F is finitely presented. Using results of K. S. Brown and R. Geoghegan, M. N. Dyer showed that F is the fundamental group of a finite two-complex Z2 having Euler characteristic one ...
Bogley, W. A. +2 more
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2018
R. Thompson’s group F is introduced and explored. Its elements are described as equivalence classes of tree diagrams and also as continuous piecewise linear functions from the unit interval to itself, and the two descriptions are linked. We give a finite presentation of F along with a presentation on infinitely many generators, which leads to a normal ...
Marianna C. Bonanome +2 more
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R. Thompson’s group F is introduced and explored. Its elements are described as equivalence classes of tree diagrams and also as continuous piecewise linear functions from the unit interval to itself, and the two descriptions are linked. We give a finite presentation of F along with a presentation on infinitely many generators, which leads to a normal ...
Marianna C. Bonanome +2 more
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2017
This chapter considers the Thompson's group F. Thompson's group F exhibits several behaviors that appear paradoxical. For example: F is finitely presented and contains a copy of F x F, indicating that F contains the direct sum of infinitely many copies of F. In addition, F has exponential growth but contains no free groups of rank 2. After providing an
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This chapter considers the Thompson's group F. Thompson's group F exhibits several behaviors that appear paradoxical. For example: F is finitely presented and contains a copy of F x F, indicating that F contains the direct sum of infinitely many copies of F. In addition, F has exponential growth but contains no free groups of rank 2. After providing an
openaire +1 more source