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A note on defining groups in stable structures

Published online by Cambridge University Press:  12 March 2014

Frank O. Wagner
Frank O. Wagner*
Affiliation:
Mathematisches Institut, Abteilung für Logik und Grundlagenforschung, Universität Freiburg, 79104 Freiburg, Deutschland
*
Mathematical Institute, 24-29 St. Giles, Oxford OX1 3LB, UK, E-mail: [email protected]
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Abstract

If * is a binary partial function which happens to be a group law on some infinite subset of some model of a stable theory, then this subset can be embedded into a definable group such that * becomes the group operation.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 59 , Issue 2 , June 1994 , pp. 575 - 578
Copyright
Copyright © Association for Symbolic Logic 1994

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References

REFERENCES

[Hru] Hrushovski, E., Contributions to stable model theory, Ph.D. Thesis , University of California at Berkeley, Berkeley, California, 1986.Google Scholar
[Pol] Poizat, B. P., Sous-groupes definissables d'un groupe stable, this Journal, vol. 48 (1981), pp. 137–146.Google Scholar
[Po2] Poizat, B. P., Groupes stables, Nur al-Mantiq wal-Ma'rifah, Villeurbanne, 1987.Google Scholar
[Wa] Wagner, F. O., Subgroups of stable groups, this Journal, vol. 55 (1990), pp. 151–156.Google Scholar