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On endomorphisms of surface mapping class groups

Geometric Topology 2007-05-23 v1

Abstract

We prove that every endomorphism of the mapping class group of an orientable surface onto a subgroup of finite index is in fact an automorphism.

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Cite

@article{arxiv.math/9904125,
  title  = {On endomorphisms of surface mapping class groups},
  author = {Mustafa Korkmaz},
  journal= {arXiv preprint arXiv:math/9904125},
  year   = {2007}
}

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5 pages