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Liftez les sylows! Une suite à “Sous-groupes périodiques d'un groupe stable”

Published online by Cambridge University Press:  12 March 2014

Bruno Poizat  and
Frank O. Wagner
Bruno Poizat
Affiliation:
Institut Girard Desargues, Université Claude Bernard(Lyon-1), Bâtiment 101 (Mathématiques), 43, Boulevard Du 11 Novembre 1918, 69621 Villeurbanne, France, E-mail: poizat@desargues.univ-lyonl.fr
Frank O. Wagner
Affiliation:
Institut Girard Desargues, Université Claude Bernard (Lyon-1), Bâtiment 101 (Mathématiques), 43, Boulevard Du 11 Novembre 1918, 69621 Villeurbanne, France, E-mail: wagner@desargues.univ-lyonl.fr
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Abstract

If G is an omega-stable group with a normal definable subgroup H, then the Sylow-2-subgroups G/H are the images of the Sylow-2-subgroups of G.

Zusammenfassung. Sei G eine omega-stabile Gruppe und H ein definierbarer Normalteiler von G. Dann sind die Sylow-2-Untergruppen von G/H Bilder der Sylow-2-Untergruppen von G.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 2 , June 2000 , pp. 703 - 704
Copyright
Copyright © Association for Symbolic Logic 2000

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References

REFERENCES

[1]Borovik, Alexandr and Nesin, Ali, Groups of finite Morley Rank, Clarendon Press, Oxford, 1994.CrossRefGoogle Scholar
[2]Derakhshan, Jamshid and Wagner, Frank O., Nilpotency in groups with chain condition, Oxford Quarterly Journal, vol. 2 (1997), no. 48, pp. 453–468.Google Scholar
[3]Poizat, Bruno and Wagner, Frank O., Sous-groupes périodiques d'un groupe stable, this Journal, (1993), pp. 385–400.Google Scholar
[4]Wagner, Frank O., Stable groups, London mathematical society, Lecture Notes 240, Cambridge University Press, 1997.Google Scholar