Mustafa Korkmaz
Published 2000-10-27Version 1
S. 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.
Comments: 5 pages, 1 figure, to apper in Turkish Journal of Mathematics
Homomorphisms of commutator subgroups of braid groups
On stable commutator length in hyperelliptic mapping class groups
Manifolds of Triangulations, braid groups of manifolds and the groups $Γ_{n}^{k}$
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