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Normal subgroup growth in free class-2-nilpotent groups

Christopher Voll
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Abstract

Let $F_{2,d}$ denote the free class-2-nilpotent group on $d$ generators. We compute the normal zeta functions $ζ^\triangleleft_{F_{2,d}}(s)$, prove that they satisfy local functional equations and determine their abscissae of convergence and pole orders.

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Christopher Voll. 2004-09-21. Normal subgroup growth in free class-2-nilpotent groups. https://arxiv.org/abs/math/0409383

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