On analogies between algebraic groups and groups of finite Morley rank

Details On analogies between algebraic groups and groups of finite Morley rank On analogies between algebraic groups and groups of finite Morley rank

2009-04-20

arxiv.org/abs/0904.3032v1

J. London Math. Soc. 2008 78(1):213-232

Mathematics

Logic

Scientific paper

We prove that in a connected group of finite Morley rank the centralizers of
decent tori are connected. We then apply this result to the analysis of minimal
connected simple groups of finite Morley rank. Our applications include general
covering properties by Borel subgroups, the description of Weyl groups and the
analysis of toral automorphisms.

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