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À propos d'équations génériques

Published online by Cambridge University Press:  12 March 2014

Frank O. Wagner
Frank O. Wagner*
Affiliation:
Abteiltung für Logik, Mathematisches Institut, Albert-Ludwigs-Universität, W-7800 Freiburg, Germany, E-mail: frwagner@ibm.ruf.uni-freiburg.de
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Abstract

We prove that a stable solvable group G which satisfies xn = 1 generically is of finite exponent dividing some power of n. Furthermore, G is nilpotent-by-finile.

A second result is that in a stable group of finite exponent, involutions either have big centralisers, or invert a subgroup of finite index (which hence has to be abelian).

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 57 , Issue 2 , June 1992 , pp. 548 - 554
Copyright
Copyright © Association for Symbolic Logic 1992

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References

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