Superrigidity from Chevalley groups into acylindrically hyperbolic groups via quasi-cocycles
Masato Mimura
Tohoku University, Sendai, Japan
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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