Abstract.
Let F2, d denote the free class-2-nilpotent group on d generators. We compute the normal zeta functions prove that they satisfy local functional equations and determine their abscissae of convergence and pole orders.
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Voll, C.: Functional equations for local normal zeta functions of nilpotent groups. Geom. Funct. Anal., with an Appendix by A. Beauville, to appear (http://arxiv.org/abs/ math.GR/0305362)
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Voll, C. Normal subgroup growth in free class-2-nilpotent groups. Math. Ann. 332, 67–79 (2005). https://doi.org/10.1007/s00208-004-0617-z
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DOI: https://doi.org/10.1007/s00208-004-0617-z