The co-Hopfian property of surface braid groups

Details The co-Hopfian property of surface braid groups The co-Hopfian property of surface braid groups

2010-06-14

arxiv.org/abs/1006.2599v2

Mathematics

Group Theory

35 pages, 9 figures

Scientific paper

When both g and n are integers at least two, we give a description of any
injective homomorphism from a finite index subgroup of the pure braid group
with n strands on a closed orientable surface of genus g, into the pure braid
group. As a consequence, we show that any finite index subgroup of the pure
braid group is co-Hopfian.

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