Superrigidity from chevalley groups into acylindrically hyperbolic groups via quasi-cocycles

Research output: Contribution to journalArticle

Abstract

We prove that every homomorphism from the elementary Chevalley group over a finitely generated unital commutative ring associated with a reduced irreducible classical root system of rank at least 2, and ME analogues of such groups, into an acylindrically hyperbolic group has an absolutely elliptic image. This result provides a non-arithmetic generalization of homomorphism superrigidity of Farb-Kaimanovich-Masur and Bridson-Wade.

Original languageEnglish
Pages (from-to)103-117
Number of pages15
JournalJournal of the European Mathematical Society
Volume20
Issue number1
DOIs
Publication statusPublished - 2018 Jan 1

Keywords

  • Acylindrically hyperbolic groups
  • Elementary chevalley groups
  • Property (T)
  • Quasi-cocycles

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Superrigidity from chevalley groups into acylindrically hyperbolic groups via quasi-cocycles'. Together they form a unique fingerprint.

  • Cite this