Les groupes 𝜔-stables de rang fini

Lascar, Daniel

doi:10.1090/S0002-9947-1985-0808731-2

Les groupes $\omega$-stables de rang fini

Author: Daniel Lascar
Journal: Trans. Amer. Math. Soc. 292 (1985), 451-462
MSC: Primary 03C45; Secondary 03C60, 20E34
DOI: https://doi.org/10.1090/S0002-9947-1985-0808731-2
MathSciNet review: 808731
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Abstract: We prove that a group $G$ which is $\omega$-stable of finite Morley rank is nonmultidimensional. If moreover it is connected and does not have any infinite normal abelian definable subgroup, then it is isomorphic to $\Pi {H_i}/K$, where the ${H_i}$ are ${\omega _1}$-categorical groups and $K$ is a finite group.

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