A new characterization of Conrad's property for group orderings, with applications

Details A new characterization of Conrad's property for group orderings, with applications A new characterization of Conrad's property for group orderings, with applications

2009-01-07

arxiv.org/abs/0901.0880v2

Mathematics

Group Theory

Some new comments included

Scientific paper

We provide a pure algebraic version of the dynamical characterization of Conrad's property. This approach allows dealing with general group actions on totally ordered spaces. As an application, we give a new and somehow constructive proof of a theorem first established by Linnell: an orderable group having infinitely many orderings has uncountably many. This proof is achieved by extending to uncountable orderable groups a result about orderings which may be approximated by their conjugates. This last result is illustrated by an example of an exotic ordering on the free group given in the Appendix.

Affiliated with

Also associated with

No associations

Rating

A new characterization of Conrad's property for group orderings, with applications 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 A new characterization of Conrad's property for group orderings, with applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new characterization of Conrad's property for group orderings, with applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-720524