Bulletin of Symbolic Logic

Actions of groups of finite Morley rank on small abelian groups

Adrien Deloro

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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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Bull. Symbolic Logic Volume 15, Issue 1 (2009), 70-90.

First available in Project Euclid: 4 January 2009

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Deloro, Adrien. Actions of groups of finite Morley rank on small abelian groups. Bull. Symbolic Logic 15 (2009), no. 1, 70--90. doi:10.2178/bsl/1231081770. http://projecteuclid.org/euclid.bsl/1231081770.

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