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Sous-groupes periodiques d'un groupe stable

Published online by Cambridge University Press:  12 March 2014

Bruno Poizat  and
Frank Wagner
Bruno Poizat
Affiliation:
Mathématiques-Bâtiment 101, Université Claude Bernard (Lyon-I), F-69622-Villeurbanne-Cedex-, France, E-mail: poizat@lan1.univ-lyon1.fr
Frank Wagner
Affiliation:
Mathematisches Institut, Universitat Freiburg, Albertstrasse 23B 7800 Freiburg, Germany, E-mail: frwagner@ibm.ruf.uni-freiburg.de
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Abstract

We develop a Sylow theory for stable groups satisfying certain additional conditions (2- finiteness, solvability or smallness) and show that their maximal p-subgroups are locally finite and conjugate. Furthermore, we generalize a theorem of Baer-Suzuki on subgroups generated by a conjugacy class of p-elements.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 58 , Issue 2 , June 1993 , pp. 385 - 400
Copyright
Copyright © Association for Symbolic Logic 1993

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References

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