Transactions of the American Mathematical Society

Author(s): Pavel Shumyatsky
Journal: Trans. Amer. Math. Soc. 356 (2004), 2081-2091.
MSC (2000): Primary 20D45
Posted: November 12, 2003
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Abstract: Let

be an elementary abelian group of order at least

acting on a finite

-group

in such a manner that

satisfies a positive law of degree

for any $a\in A^\char93$ . It is proved that the entire group

satisfies a positive law of degree bounded by a function of

and

only.

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