On the affine representations of the trefoil knot group

Details On the affine representations of the trefoil knot group On the affine representations of the trefoil knot group

2010-03-18

arxiv.org/abs/1003.3554v1

Mathematics

Geometric Topology

Scientific paper

The complete classification of representations of the Trefoil knot group G in S^{3} and SL(2,R), their affine deformations, and some geometric interpretations of the results, are given. Among other results, we also obtain the classification up to conjugacy of the non cyclic groups of affine Euclidean isometries generated by two isometries $\mu$ and $\nu$ such that $\mu^{2}=\nu^{3}=1$, in particular those which are crystallographic. We also prove that there are no affine crystallographic groups in the three dimensional Minkowski space which are quotients of G.

Affiliated with

Also associated with

No associations

Rating

On the affine representations of the trefoil knot group 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 On the affine representations of the trefoil knot group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the affine representations of the trefoil knot group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-700343