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

  • Masato Mimura

    Tohoku University, Sendai, Japan

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

Cite this article

Masato Mimura, Superrigidity from Chevalley groups into acylindrically hyperbolic groups via quasi-cocycles. J. Eur. Math. Soc. 20 (2018), no. 1, pp. 103–117

DOI 10.4171/JEMS/760