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Subgroups of stable groups

Published online by Cambridge University Press:  12 March 2014

Frank Wagner
Frank Wagner*
Affiliation:
Mathematical Institute, Oxford University, Oxford 0X1 3LB, England
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Abstract

We define the notion of generic for an arbitrary subgroup H of a stable group, and show that H has a definable hull with the same generic properties. We then apply this to the theory of stable fields.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 55 , Issue 1 , March 1990 , pp. 151 - 156
Copyright
Copyright © Association for Symbolic Logic 1990

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References

REFERENCES

[Du]Duret, J.-L., Les corps faiblement algébriquement clos non séparablement clos ont la propriété d'indépendance, Model theory of algebra and arithmetic, Lecture Notes in Mathematics, vol. 834, Springer-Verlag, Berlin, 1980, pp. 136–162.CrossRefGoogle Scholar
[Pi]Pillay, A., An introduction to stability theory, Oxford University Press, Oxford, 1983.Google Scholar
[Po1]Poizat, B., Théorie des modèles, Nur al-mantiq wal-ma'rifah, Villeurbanne, 1985.Google Scholar
[Po2]Poizat, B., Groupes stables, Nur al-mantiq wal-ma'rifah, Villeurbanne, 1987.Google Scholar
[Po3]Poizat, B., Sous-groupes définissables d'un groupe stable, this Journal, vol. 46 (1981), pp. 137–145.Google Scholar
[Po4]Poizat, B., Groupes stables, avec types génériques réguliers, this Journal, vol. 48 (1983), pp. 339–355.Google Scholar
[Sh]Shelah, S., Classification theory, North-Holland, Amsterdam, 1978.Google Scholar