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

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2 Citations (Scopus)


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
Issue number1
Publication statusPublished - 2018


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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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