Items for "nilpotent groups"

Generalized partition functions and subgroup growth of free products of nilpotent groups

We estimate the growth of homomorphism numbers of a torsion-free nilpotent group G using a variant of the circle method together with the analytic continuation of ζ_G(s) established in [4]...

Keywords: subgroup growth, free products, generalized partition functions, circle method, nilpotent groups