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Zeta functions of groups and enumeration in Bruhat-Tits buildings

By Christopher Voll

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 Sln(Qp). 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

Topics: QA
Year: 2004
OAI identifier: oai:eprints.soton.ac.uk:42193
Provided by: e-Prints Soton
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