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arXiv · 0801.3958

Linear groups of finite Morley rank

Alexandre Borovik·Jeffrey Burdges
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Abstract

We show that a non-algebraic simple group of finite Morley rank with a definable representation over a field has no involutions, and otherwise resembles a bad group. In particular, the modern form of the Cherlin-Zilber alebaricity conjecture hold for such groups.

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Alexandre Borovik, Jeffrey Burdges. 2008-11-15. Linear groups of finite Morley rank. https://arxiv.org/abs/0801.3958

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