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

DOI10.1515/JGT.2008.056zbMath1153.20024arXiv0708.2494OpenAlexW2962751140MaRDI QIDQ3544301

Jack Oliver Button

Publication date: 5 December 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2494

zbMATH Keywords

zeta functionsfinitely generated profinite groupsBaumslag-Solitar groupsfinite index subgroupsnumbers of normal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Other Dirichlet series and zeta functions (11M41) Limits, profinite groups (20E18)

Related Items (4)

Subgroups of finite index in Baumslag-Solitar groups. ⋮ Finite index subgroups in non-large generalized Baumslag–Solitar groups ⋮ Generalized Baumslag-Solitar groups: rank and finite index subgroups ⋮ Subgroup growth of all Baumslag-Solitar groups

Cites Work

• Subgroups of finite index in nilpotent groups
• Isomorphism of the Baumslag-Solitar groups
• Normal growth of large groups. II.
• Free quotients and the first Betti number of some hyperbolic manifolds
• Some two-generator one-relator non-Hopfian groups
• Asymptotic Formulas Related to Free Products of Cyclic Groups
• Zeta Functions of Crystallographic Groups and Analytic Continuation
• On the Finite Images of Some One-Relator Groups
• Subgroup growth of Baumslag–Solitar groups
• Groups with multiplicative subgroup growth

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