Semisimple torsion in groups of finite Morley rank

Mathematics – Logic

Scientific paper

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Scientific paper

We prove several results about groups of finite Morley rank without unipotent
p-torsion: p-torsion always occurs inside tori, Sylow p-subgroups are
conjugate, and p is not the minimal prime divisor of our approximation to the
``Weyl group.'' These results are quickly finding extensive applications within
the classification project.

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