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International audienceGroups of finite Morley rank generalize algebraic groups; the simple ones have even been conjectured to be algebraic. Parallel to an ambitious classification program towards this conjecture, one can try to show direct equivalents of known results on algebraic groups in the context of groups of finite Morley rank. This is done here with Steinberg's theorem on central-izers of semi-simple elements

Steinberg's torsion theorem in the context of groups of finite Morley rank