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Actions of Groups of Finite Morley Rank on Small Abelian Groups

Published online by Cambridge University Press:  15 January 2014

Adrien Deloro
Adrien Deloro*
Affiliation:
Department of Mathematics, Rutgers University, Hill Center, Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ 08854, USAE-mail: adeloro@math.rutgers.edu
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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.

Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 15 , Issue 1 , March 2009 , pp. 70 - 90
Copyright
Copyright © Association for Symbolic Logic 2009

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References

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