Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-10T09:51:24.490Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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