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Preprint Number 64

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64. Jeffrey Burdges and Gregory Cherlin
Semisimple torsion in groups of finite Morley rank

Submission date: 12 March 2007


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.

Mathematics Subject Classification: 03C60, 20G99

Keywords and phrases: torsion "Morley rank"

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