an:04081523
Zbl 0662.03022
Poizat, Bruno
MM. Borel, Tits, Zil'ber et le g??n??ral nonsense
FR
J. Symb. Log. 53, No. 1, 124-131 (1988).
00167807
1988
j
03C45 03C60 20G99
Cherlin conjecture; simple group; finite Morley rank; algebraic group over an algebraically closed field; automorphism
The aim of this paper is not clear to the reviewer. The author claims that he is interested in the Cherlin conjecture stating that a simple group of finite Morley rank is an algebraic group over an algebraically closed field, and proves a very special case of a theorem of Borel and Tits (an automorphism of a simple algebraic group over an algebraically closed field comes from an automorphism of the ground field composed with an automorphism of the group as a quasi-variety) using heavily model- theoretic methods. Of course, it is these methods, more than the result, which are interesting.
D.Lascar