Homomorphisms into mapping class groups. An addendum

Jason Behrstock; Cornelia Drutu; Mark Sapir

Homomorphisms into mapping class groups. An addendum

Group Theory 2010-09-16 v2 Geometric Topology

Authors: Jason Behrstock , Cornelia Drutu , Mark Sapir

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

Keywords

group theory automorphism groups mapping class groups

Cite

@article{arxiv.1005.5056,
  title  = {Homomorphisms into mapping class groups. An addendum},
  author = {Jason Behrstock and Cornelia Drutu and Mark Sapir},
  journal= {arXiv preprint arXiv:1005.5056},
  year   = {2010}
}

Comments

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

Homomorphisms into mapping class groups. An addendum

Abstract

Keywords

Cite

Comments

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