Semisimple torsion in groups of finite Morley rank
نویسندگان
چکیده
A group of finite Morley rank is a group whose definable subsets have a notion of dimension satisfying several basic axioms [BN94, p. 57]. Such groups arise naturally in model theory; initially as א1-categorical groups, i.e. as groups determined up to isomorphism by their first order theory, and here the simple groups correspond exactly. More recently groups of finite Morley rank have appeared in applications of model theory to diophantine problems. The main examples are algebraic groups over algebraically closed fields, where the notion of dimension is the usual one; and the dominant conjecture is that all such simple groups are algebraic.
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