Article ID Journal Published Year Pages File Type
4587329 Journal of Algebra 2009 9 Pages PDF
Abstract

Let A be an elementary abelian q-group of order q2 acting on a finite q′-group G in such a manner that the subgroup 〈CG(a),CG(b)〉 satisfies a positive law of degree n for any a,b∈A#. It is proved that the entire group G satisfies a positive law of degree bounded by a function of q and n only.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory