Journal of Symbolic Logic

Small representations of SL2 in the finite Morley rank category

Gregory Cherlin and Adrien Deloro

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Abstract

We study definable irreducible actions of SL2(𝕂) on an abelian group of Morley rank ≤ 3rk(𝕂) and prove they are rational representations of the group.

Article information

Source
J. Symbolic Logic Volume 77, Issue 3 (2012), 919-933.

Dates
First available in Project Euclid: 13 August 2012

Permanent link to this document
http://projecteuclid.org/euclid.jsl/1344862167

Digital Object Identifier
doi:10.2178/jsl/1344862167

Mathematical Reviews number (MathSciNet)
MR2987143

Citation

Cherlin, Gregory; Deloro, Adrien. Small representations of SL 2 in the finite Morley rank category. Journal of Symbolic Logic 77 (2012), no. 3, 919--933. doi:10.2178/jsl/1344862167. http://projecteuclid.org/euclid.jsl/1344862167.


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