Article ID Journal Published Year Pages File Type
4586595 Journal of Algebra 2011 4 Pages PDF
Abstract

It is shown that there is a sequence (wn(x,y)) of elements of the free group on x, y with the following property: if G is a finite group (or more generally, a linear group), then the largest soluble normal subgroup of G consists of all elements g such that wn(g,h)=1 for all h∈G and all sufficiently large indices n.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory