arXiv:1502.03703 Abstract | arXiv Analytics

arXiv:1502.03703 [math.GR]Abstract References Reviews Resources

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

Published 2015-02-12Version 1

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

Comments: 7 pages, this is the final extended version of an unpublished manuscript (arXiv:1106.3769) by the author

Categories: math.GR, math.GT, math.KT, math.RA

Keywords: acylindrically hyperbolic groups, irreducible classical root system, superrigidity, generated unital commutative ring

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