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arXiv · 1006.2599

The co-Hopfian property of surface braid groups

Yoshikata Kida·Saeko Yamagata
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Abstract

Let g and n be integers at least two, and let G be the pure braid group with n strands on a closed orientable surface of genus g. We describe any injective homomorphism from a finite index subgroup of G into G. As a consequence, we show that any finite index subgroup of G is co-Hopfian.

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Yoshikata Kida, Saeko Yamagata. 2013-03-07. The co-Hopfian property of surface braid groups. https://doi.org/10.1142/s0218216513500557

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