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ON POWERS OF HALF-TWISTS IN M(0, 2n)

Part of: Special aspects of infinite or finite groups Differential topology Low-dimensional topology

Published online by Cambridge University Press:  30 October 2017

GREGOR MASBAUM
GREGOR MASBAUM*
Affiliation:
Institut de Mathématiques de Jussieu (UMR 7586 du CNRS) Case 247, 4 pl. Jussieu, 75252 Paris Cedex 5, France e-mail: gregor.masbaum@imj-prg.fr URL: webusers.imj-prg.fr/gregor.masbaum
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Abstract

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We use elementary skein theory to prove a version of a result of Stylianakis (Stylianakis, The normal closure of a power of a half-twist has infinite index in the mapping class group of a punctured sphere, arXiv:1511.02912) who showed that under mild restrictions on m and n, the normal closure of the mth power of a half-twist has infinite index in the mapping class group of a sphere with 2n punctures.

MSC classification

Primary: 20F38: Other groups related to topology or analysis
Secondary: 57M99: None of the above, but in this section 57R56: Topological quantum field theories
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 60 , Issue 2 , May 2018 , pp. 333 - 338
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017 

References

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