Actions of groups of finite Morley rank on small abelian groups
Adrien Deloro
Source: Bull. Symbolic Logic Volume 15, Issue 1
(2009), 70-90.
Abstract
We classify actions of groups of finite Morley rank on abelian groups of Morley rank 2: there are essentially two, namely the natural actions of SL(V) and GL(V) with V a vector space of dimension 2. We also prove an identification theorem for the natural module of SL2 in the finite Morley rank category.
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