Groups of finite Morley rank with solvable local subgroups

2008/02/11 by Adrien Deloro, Deloro, Adrien, Eric Jaligot +1
Mathematics · #03C60 #20E25 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:03C60 #msc:20E25

paper · pdf · doi:10.48550/arxiv.0802.1394

arxiv created 2008/03/27 · arxiv updated 2009/12/01

Abstract

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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