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Positive Thompson Permutations of width 7 - MaRDI portal

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Positive Thompson Permutations of width 7

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DOI10.5281/zenodo.7424881Zenodo7424881MaRDI QIDQ6725990

Dataset published at Zenodo repository.

Author name not available (Why is that?)

Publication date: 22 December 2022

Copyright license: No records found.



Almost a decade ago Vaughan Jones introduced a method to produce knots from elements of the Thompson groups $F$. Later, it was extended to the Brown-Thompson group $F_3$. We defined a way to produce permutations out of elements of these groups. We call these permutations Thompson permutations. The number of orbits of each Thompson permutation coincides with the number of connected components of the link. Here are1350210 Thompson permutations produced by positive elements of width 7.






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