The equation w(x,y)=u over free groups

Details The equation w(x,y)=u over free groups The equation w(x,y)=u over free groups

2007-05-29

arxiv.org/abs/0705.4246v5

Mathematics

Group Theory

1 Figure. Modifications made after referee comments

Scientific paper

Using the theory developed by Olga Kharlampovich, Alexei Miasnikov, and, independently, by Zlil Sela to describe the set of homomorphisms of a f.g. group G into a free group F, we describe the solutions to equations with coefficients from F and unknowns x,y of the form w(x,y) = u, where u lies in F and w(x,y) is a word in {x,y}^\{pm 1}. We also give an example of a single equation whose solutions cannot be described with only one "level" of automorphisms.

Affiliated with

Also associated with

No associations

Rating

The equation w(x,y)=u over free groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The equation w(x,y)=u over free groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The equation w(x,y)=u over free groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-499588