Groups of finite Morley rank with solvable local subgroups

Details Groups of finite Morley rank with solvable local subgroups Groups of finite Morley rank with solvable local subgroups

2008-02-11

arxiv.org/abs/0802.1394v3

Mathematics

Group Theory

Scientific paper

We lay down the fundations of the theory of groups of finite Morley rank in
which local subgroups are solvable and we proceed to the local analysis of
these groups. We prove the main Uniqueness Theorem, analogous to the Bender
method in finite group theory, and derive its corollaries. We also consider
homogeneous cases as well as torsion.

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