Zeta functions of groups and enumeration in Bruhat-Tits buildings
Group Theory
2007-05-23 v1 Number Theory
Abstract
We introduce a new method to calculate local normal zeta functions of finitely generated, torsion-free nilpotent groups. It is based on an enumeration of vertices in the Bruhat-Tits building for Sl_n(Q_p). It enables us to give explicit computations for groups of class 2 with small centres and to derive local functional equations. Examples include formulae for non-uniform normal zeta functions.
Keywords
Cite
@article{arxiv.math/0305360,
title = {Zeta functions of groups and enumeration in Bruhat-Tits buildings},
author = {Christopher Voll},
journal= {arXiv preprint arXiv:math/0305360},
year = {2007}
}
Comments
32 pages, 1 figure. To appear in Amer. J. Math