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MR1092032 12G99
Shafarevich, I. R. The Lüroth problem. (Russian) Translated in Proc. Steklov Inst. Math. 1991, no. 4, 241–246. Galois theory, rings, algebraic groups and their applications (Russian). Trudy Mat. Inst. Steklov. 183 (1990), 199–204, 229.
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