64 research outputs found
Lie rank in groups of finite Morley rank with solvable local subgroups
We prove a general dichotomy theorem for groups of finite Morley rank with
solvable local subgroups and of Pr\"ufer p-rank at least 2, leading either to
some p-strong embedding, or to the Pr\"ufer p-rank being exactly 2
Cosets, genericity, and the Weyl group
We prove a non-generosity theorem for proper cosets in groups of finite
Morley rank and elaborate on the theory of Weyl groups in this context
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