Groups graded by root systems and property (T).
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- Record sourced from PubMed, PMID 25425669.
- Also identified by DOI 10.1073/pnas.1321042111 and PMC identifier 4273365.
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Abstract
We establish property (T) for a large class of groups graded by root systems, including elementary Chevalley groups and Steinberg groups of rank at least 2 over finitely generated commutative rings with 1. We also construct a group with property (T) which surjects onto all finite simple groups of Lie type and rank at least two.