The rationality of Sol manifolds

Details The rationality of Sol manifolds The rationality of Sol manifolds

2005-04-06

arxiv.org/abs/math/0504112v5

J. Algebra 304 (1) (2006) 190--215.

Mathematics

Group Theory

30 pages; author's name changed to agree with published version; to appear in Journal of Algebra

Scientific paper

Let $\Gamma$ be the fundamental group of a manifold modeled on three dimensional Sol geometry. We prove that $\Gamma$ has a finite index subgroup $G$ which has a rational growth series with respect to a natural generating set. We do this by enumerating $G$ by a regular language. However, in contrast to most earlier proofs of this sort our regular language is not a language of words in the generating set, but rather reflects a different geometric structure in $G$.

Affiliated with

Also associated with

No associations

Rating

The rationality of Sol manifolds 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 The rationality of Sol manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The rationality of Sol manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-38489