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A family of class-2 nilpotent groups, their automorphisms and pro-isomorphic zeta functions

Berman, Mark N.; Klopsch, Benjamin; Onn, Uri

Description

The pro-isomorphic zeta function ζ∧Γ(s) of a finitely generated nilpotent group Γ is a Dirichlet generating function that enumerates finite-index subgroups whose profinite completion is isomorphic to that of Γ . Such zeta functions can be expressed as Euler products of p-adic integrals over the Qp -points of an algebraic automorphism group associated to Γ . In this way they are closely related to classical zeta functions of algebraic groups over local fields. We describe the...[Show more]

CollectionsANU Research Publications
Date published: 2018
Type: Journal article
URI: http://hdl.handle.net/1885/159715
Source: Mathematische Zeitschrift
DOI: 10.1007/s00209-018-2045-x

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