On the linearity of certain mapping class groups

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dc.creatorKorkmaz, Mustafa
dc.date2000-10-27
dc.date.accessioned2026-07-07T04:38:17Z
dc.date.available2026-07-07T04:38:17Z
dc.descriptionS. Bigelow proved that the braid groups are linear. That is, there is a faithful representation of the braid group into the general linear group of some field. Using this, we deduce from previously known results that the mapping class group of a sphere with punctures and hyperelliptic mapping class groups are linear. In particular, the mapping class group of a closed orientable surface of genus 2 is linear.
dc.description5 pages, 1 figure, to apper in Turkish Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0010267
dc.identifierhttp://arxiv.org/abs/math/0010267
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60219
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject57M60
dc.titleOn the linearity of certain mapping class groups
dc.typetext

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