For any simply connected Chevalley group without SL2 factors, the elementary subgroup equals the whole group over Laurent polynomial rings over a special PID, such as the integers.
Gruson, Une propri\'et\'e des couples hens\'eliens, Colloque d'Alg\`ebre Commutative (Rennes, 1972), Exp
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Chevalley groups over Laurent polynomial rings
For any simply connected Chevalley group without SL2 factors, the elementary subgroup equals the whole group over Laurent polynomial rings over a special PID, such as the integers.