Abstract
For a finite group G, GalT(G) denotes the property that there exists a regular Galois extension of the rational function field ℚ(T) over the field of rationals ℚ, with a Galois group G. This property is established to be satisfied by all Weyl groups except the type F4, from which it follows that it holds also for Chevalley groups C3(2) and D4(2).
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