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The 3-colorable subgroup of Thompson's group and tricolorability of links.
- Source :
-
Journal of Algebra . Nov2023, Vol. 634, p336-344. 9p. - Publication Year :
- 2023
-
Abstract
- Starting from the work by Jones on representations of Thompson's group F , subgroups of F with interesting properties have been defined and studied. One of these subgroups is called the 3-colorable subgroup F , which consists of elements whose "regions" given by their tree diagrams are 3-colorable. On the other hand, in his work on representations, Jones also gave a method to construct knots and links from elements of F. Therefore it is a natural question to explore a relationship between elements in F and 3-colorable links in the sense of knot theory. In this paper, we show that all elements in F give 3-colorable links. [ABSTRACT FROM AUTHOR]
- Subjects :
- *KNOT theory
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 634
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 170745527
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2023.07.014