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Thomas W. Müller, Jan-Christoph Schlage-Puchta

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

Keywords: subgroup growth, free products, generalized partition functions, circle method, 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]. As an application, we obtain information on the subgroup growth of free products of nilpotent groups.

Analysis, Oldenbourg Wissenschaftsverlag

Print ISSN: 0174-4747
Volume: 25, 04/2005
Pages: 281 - 296

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