K_g is not finitely generated

Details K_g is not finitely generated K_g is not finitely generated

2004-05-20

arxiv.org/abs/math/0405386v2

Mathematics

Geometric Topology

17 pages, 2 figures

Scientific paper

10.1007/s00222-005-0472-x

We prove that for any genus g>1, the subgroup K_g of the mapping class group
of a closed genus g surface generated by Dehn twists about separating curves is
not finitely generated.

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