This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Klopsch, BenjaminVoll, Christopher2019-06-2820071864-7596https://doi.org/10.34657/3495https://oa.tib.eu/renate/handle/123456789/1748We give an explicit formula for the subalgebra zeta function of a general 3-dimensional Lie algebra over the p-adic integers Zp. To this end, we associate to such a Lie algebra a ternary quadratic form over Zp. The formula for the zeta function is given in terms of Igusa's local zeta function associated to this form.application/pdfeng510Subgroup growth3-dimensional Lie algebrasIgusa's local zeta functionternary quadratic formsReport