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arxiv: 1602.03162 · v1 · pith:ONUFBXQ2new · submitted 2016-02-09 · 🧮 math.GR

On Kazhdan's property (T) for isotropic reductive groups

classification 🧮 math.GR
keywords chevalleyelementarygroupsisotropickazhdanreductiveconnectedcorresponding
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We show that the standard set of elementary generators of an elementary isotropic reductive group over a connected finitely generated ring is a Kazhdan subset. This generalizes the corresponding result of M. Ershov, A. Jaikin-Zapirain, and M. Kassabov for Chevalley and twisted Chevalley groups.

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