Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4586595 | Journal of Algebra | 2011 | 4 Pages |
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