Actions of groups of finite Morley rank on small abelian groups

Deloro, Adrien

Deloro, Adrien

Bull. Symbolic Logic, Tome 15 (2009) no. 1, p. 70-90 / Harvested from Project Euclid

Résumé

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.

Publié le : 2009-03-15
Classification:

@article{1231081770,
     author = {Deloro, Adrien},
     title = {Actions of groups of finite Morley rank on small abelian groups},
     journal = {Bull. Symbolic Logic},
     volume = {15},
     number = {1},
     year = {2009},
     pages = { 70-90},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1231081770}
}

Deloro, Adrien. Actions of groups of finite Morley rank on small abelian groups. Bull. Symbolic Logic, Tome 15 (2009) no. 1, pp.  70-90. http://gdmltest.u-ga.fr/item/1231081770/