Normal subgroup growth in free class-2-nilpotent groups

Details Normal subgroup growth in free class-2-nilpotent groups Normal subgroup growth in free class-2-nilpotent groups

2004-09-21

arxiv.org/abs/math/0409383v1

Mathematics

Group Theory

14 pages

Scientific paper

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

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