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Positive laws in fixed points
Authors:Pavel Shumyatsky
Institution:Department of Mathematics, University of Brasilia, Brasilia-DF, 70910-900 Brazil
Abstract:Let $A$ be an elementary abelian group of order at least $q^3$ acting on a finite $q'$-group $G$in such a manner that $C_G(a)$ satisfies a positive law of degree $n$ for any $a\in A^\char93 $. It is proved that the entire group $G$ satisfies a positive law of degree bounded by a function of $q$ and $n$ only.

Keywords:Automorphisms  centralizers  associated Lie rings
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