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À propos d'équations génériques
Published online by Cambridge University Press: 12 March 2014
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).
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- Copyright © Association for Symbolic Logic 1992
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