Homomorphisms into mapping class groups. An addendum

2010/05/27 by Jason Behrstock, Behrstock, Jason, Cornelia Druţu +4
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #math.GT

paper · pdf · doi:10.48550/arxiv.1005.5056

7 pages; v2: fixed some misprints, the paper is accepted in Proc. LMS

openalex publication_date 2010/05/27 · arxiv created 2010/09/15 · arxiv updated 2010/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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