A formula for the normal subgroup growth of Baumslag-Solitar groups

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dc.creatorButton, J. O.
dc.date2007-08-18
dc.date.accessioned2026-07-07T08:24:17Z
dc.date.available2026-07-07T08:24:17Z
dc.descriptionWe give an exact formula for the number of normal subgroups of each finite index in the Baumslag-Solitar group BS(p,q) when p and q are coprime. Unlike the formula for all finite index subgroups, this one distinguishes different Baumslag-Solitar groups and is not multiplicative. This allows us to give an example of a finitely generated profinite group which is not virtually pronilpotent but whose zeta function has an Euler product.
dc.identifierhttps://arxiv.org/abs/0708.2494
dc.identifierhttp://arxiv.org/abs/0708.2494
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136289
dc.subjectGroup Theory
dc.titleA formula for the normal subgroup growth of Baumslag-Solitar groups
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