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math.LO2008★ 4 cited
Linear groups of finite Morley rank
Alexandre Borovik, Jeffrey Burdges
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,…
math.LO2007
Involutions in groups of finite Morley rank of degenerate type
Alexandre Borovik, Jeffrey Burdges, Gregory Cherlin
This article proves a version of the Feit-Thompson theorem for simple groups of finite Morley rank: a connected groups of finite Morley rank with a finite Sylow 2-subgroup has a tr…