Bulletin of Symbolic Logic

Actions of groups of finite Morley rank on small abelian groups

Adrien Deloro

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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.

Article information

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

Dates
First available in Project Euclid: 4 January 2009

Permanent link to this document
http://projecteuclid.org/euclid.bsl/1231081770

Digital Object Identifier
doi:10.2178/bsl/1231081770

Mathematical Reviews number (MathSciNet)
MR2502892

Zentralblatt MATH identifier
05532695

Citation

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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