Characteristic varieties of nilpotent groups and applications

Details Characteristic varieties of nilpotent groups and applications Characteristic varieties of nilpotent groups and applications

2007-10-29

arxiv.org/abs/0710.5398v1

Proceedings of the Sixth Congress of Romanian Mathematicians (Bucharest, 2007), vol.1, pp. 57-64, Romanian Academy, Bucharest,

Mathematics

Algebraic Topology

14 pages

Scientific paper

We compute the characteristic varieties and the Alexander polynomial of a finitely generated nilpotent group. We show that the first characteristic variety may be used to detect nilpotence. We use the Alexander polynomial to deduce that the only torsion-free, finitely generated nilpotent groups with positive deficiency are $\Z$ and $\Z^2$, extending a classical result on nilpotent link groups.

Affiliated with

Also associated with

No associations

Rating

Characteristic varieties of nilpotent groups and 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 Characteristic varieties of nilpotent groups and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characteristic varieties of nilpotent groups and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-19082