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arxiv: 1608.08449 · v2 · pith:FBZCCYPDnew · submitted 2016-08-30 · 🧮 math.GT · math.QA

On powers of half-twists in M(0,2n)

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keywords classclosureelementarygrouphalf-twisthalf-twistsindexinfinite
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We use elementary skein theory to prove a version of a result of Stylianakis who showed that under mild restrictions on m and n, the normal closure of the m-th power of a half-twist has infinite index in the mapping class group of a sphere with 2n punctures.

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