Zeta functions of groups and enumeration in Bruhat-Tits buildings

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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.
32 pages, 1 figure. To appear in Amer. J. Math

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Group Theory, Number Theory, 11M41; 20E07

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http://salesiana.dossiersoluciones.com/handle/123456789/67573

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305360
 http://arxiv.org/abs/math/0305360

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arXiv