Commutators and squares in free groups

Details Commutators and squares in free groups Commutators and squares in free groups

2004-09-06

arxiv.org/abs/math/0409087v1

Algebr. Geom. Topol. 4 (2004) 595-602

Mathematics

Group Theory

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-27.abs.html

Scientific paper

Let F_2 be the free group generated by x and y. In this article, we prove
that the commutator of x^m and y^n is a product of two squares if and only if
mn is even. We also show using topological methods that there are infinitely
many obstructions for an element in F_2 to be a product of two squares.

Affiliated with

Also associated with

No associations

Rating

Commutators and squares in 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 Commutators and squares in free groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Commutators and squares in free groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-375176