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- Property ($T$) for Groups Graded by Root Systems
Property ($T$) for Groups Graded by Root Systems
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Introduces and studies the class of groups graded by root systems. The authors prove that if $\Phi$ is an irreducible classical root system of rank $\geq 2$ and $G$ is a group graded by $\Phi$, then under certain natural conditions on the grading, the union of the root subgroups is a Kazhdan subset of $G$.
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