Primitive Permutation Groups of Finite Morley Rank
نویسندگان
چکیده
We prove a version of the O'Nan-Scott Theorem for detinably primitive permutation groups of finite Morley rank. This yields questions about structures of finite Morley rank of the form (F, + , . , / / ) where (F, +,.) is an algebraically closed field and H is a central extension of a simple group with /Y=sGL(rt, F). We obtain partial results on such groups H, and show for example that if char(/) = 0, H is irreducible, and (in the sense for stable groups) some Borel subgroup of H is non-abelian then H = Z(H). E where E =£ H is algebraic, that is, definable in (F, +,.).
منابع مشابه
Permutation groups of Finite Morley rank
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