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Simple groups of Morley rank 5 are bad
By exploiting the geometry of involutions in -groups of finite
Morley rank, we show that any simple group of Morley rank is a bad group
all of whose proper definable connected subgroups are nilpotent of rank at most
. The main result is then used to catalog the nonsoluble connected groups of
Morley rank
Rank 3 Bingo
We classify irreducible actions of connected groups of finite Morley rank on
abelian groups of Morley rank 3
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