The Quarterly Journal of Mathematics Advance Access originally published online on February 12, 2008
The Quarterly Journal of Mathematics 2009 60(1):121-132; doi:10.1093/qmath/ham057
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POSITIVE LAWS IN DERIVED SUBGROUPS OF FIXED POINTS

Department of Mathematics, University of Brasilia, Brasilia, Distrito Federal, 70910-900 Brazil
E-mail: pavel{at}mat.unb.br
Received 24 August 2007;
revised 15 November 2007
| Abstract |
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Let A be an elementary abelian group of order at least q4 acting on a finite q'-group G in such a manner that the derived subgroup of CG(a) satisfies a positive law of degree n for any a
A#. It is proved that G' satisfies a positive law of degree bounded by a function of q and n only.