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On a property of special groups

Zinovy Reichstein·Boris Youssin
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Abstract

Let G be an algebraic group defined over an algebraically closed field k of characteristic zero. We give a simple proof of the following result: if H^1(L, G) = {1} for some finitely generated field extension L/k of transcendence degree \ge 3 then H^1(K, G) = {1} for every field extension K/k.

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Zinovy Reichstein, Boris Youssin. 1999-10-26. On a property of special groups. https://arxiv.org/abs/math/9910140

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