Diagram groups are totally orderable

Details Diagram groups are totally orderable Diagram groups are totally orderable

2003-05-10

arxiv.org/abs/math/0305153v1

Mathematics

Group Theory

22 pages

Scientific paper

In this paper, we introduce the concept of the independence graph of a directed 2-complex. We show that the class of diagram groups is closed under graph products over independence graphs of rooted 2-trees. This allows us to show that a diagram group containing all countable diagram groups is a semi-direct product of a partially commutative group and R. Thompson's group $F$. As a result, we prove that all diagram groups are totally orderable.

Affiliated with

Also associated with

No associations

Rating

Diagram groups are totally orderable 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 Diagram groups are totally orderable, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diagram groups are totally orderable will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-155097