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arxiv: 1005.5056 · v2 · pith:SQ5RGPJCnew · submitted 2010-05-27 · 🧮 math.GR · math.GT

Homomorphisms into mapping class groups. An addendum

classification 🧮 math.GR math.GT
keywords actsaddendumclassfinitelygrouphomomorphismsmappingnon-trivially
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This is an addendum to arXiv: 0810.5376. We show, using our methods and an auxiliary result of Bestvina-Bromberg-Fujiwara, that a finitely generated group with infinitely many pairwise non-conjugate homomorphisms to a mapping class group virtually acts non-trivially on an $\R$-tree, and, if it is finitely presented, it virtually acts non-trivially on a simplicial tree

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