Growing words in the free group on two generators

Details Growing words in the free group on two generators Growing words in the free group on two generators

2009-09-03

arxiv.org/abs/0909.0561v1

Mathematics

Group Theory

8 pages

Scientific paper

This paper is concerned with minimal length representatives of equivalence classes of F_2 under Aut F_2. We give a simple inequality characterizing words of minimal length in their equivalence class. We consider an operation that "grows" words from other words, increasing the length, and we study root words -- minimal words that cannot be grown from other words. Root words are "as minimal as possible" in the sense that their characterization is the boundary case of the minimality inequality. The property of being a root word is respected by equivalence classes, and the length of each root word is divisible by 4.

Affiliated with

Also associated with

No associations

Rating

Growing words in the free group on two generators 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 Growing words in the free group on two generators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Growing words in the free group on two generators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-663420