Geometric structure of class two nilpotent groups and subgroup growth

Details Geometric structure of class two nilpotent groups and subgroup growth Geometric structure of class two nilpotent groups and subgroup growth

2008-02-13

arxiv.org/abs/0802.1796v1

Mathematics

Group Theory

39 pages

Scientific paper

In this paper we derive an explicit expression for the normal zeta function of class two nilpotent groups whose associated Pfaffian hypersurface is smooth. In particular, we show how the local zeta function depends on counting mod p rational points on related varieties, and we describe the varieties that can appear in such a decomposition. As a corollary, we also establish explicit results on the degree of polynomial subgroup growth in these groups, and we study the behaviour of poles of this zeta function. Under certain geometric conditions, we also confirm that these functions satisfy a functional equation.

Affiliated with

Also associated with

No associations

Rating

Geometric structure of class two nilpotent groups and subgroup growth 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 Geometric structure of class two nilpotent groups and subgroup growth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric structure of class two nilpotent groups and subgroup growth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-676626