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arxiv: 1810.06034 · v1 · pith:3EIPMP7Snew · submitted 2018-10-14 · 🧮 math.GT · math-ph· math.GR· math.MP· math.OA

On the construction of knots and links from Thompson's groups

classification 🧮 math.GT math-phmath.GRmath.MPmath.OA
keywords theorythompsonconstructiondevelopmentsgroupgroupsknotknots
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We review recent developments in the theory of Thompson group representations related to knot theory.

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  1. Remarks on some maximal subgroups of $F$ and on the $\vec{F}$-index of knots

    math.GT 2019-10 unverdicted novelty 4.0

    Three maximal subgroups of K_{(2,2)} in F containing F are characterized as stabilizers, and the vec F-index increases by at most 3 upon orientation change.