Diego Sulca

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20122026

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math.GR2021

On the degree of polynomial subgroup growth of nilpotent groups

Diego Sulca

Let $N$ be a finitely generated nilpotent group. The subgroup zeta function $ζ_{N}^{\leq} (s)$ and the normal zeta function $ζ_{N}^{⊲} (s)$ of $N$ are Dirichlet series enumerating the f…

math.GR2012

Zeta functions of the 3-dimensional almost-Bieberbach groups

Diego Sulca

The subgroup zeta function and the normal zeta function of a finitely generated virtually nilpotent group can be expressed as finite sums of Dirichlet series admitting Euler produc…

math.GR2012

Zeta functions of virtually nilpotent groups

Diego Sulca

We prove that the subgroup zeta function and the normal zeta function of a finitely generated virtually nilpotent group are finite sums of Euler products of cone integrals over $\m…