#### Z. Reichstein, B. Youssin, *
On a property of special groups *,
Transformation Groups, 6, no. 3 (2001), 261-266.

** Abstract: **
Let G be an algebraic group defined over an algebraically
closed field k of characteristic zero. We show that if
H^1(K, G) = { 1 } for some finitely generated field extension K_0/k
of transcendence degree > 2 then H^1(L, G) = { 1 } for every
field extension L/k. This shows that Serre's conjectures I and II
have no analogues for fields of cohomological dimentsion > 2.

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