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

DOI10.1524/anly.2005.25.4.281zbMath1144.20013OpenAlexW1965237812MaRDI QIDQ3431497

Jan-Christoph Schlage-Puchta, Thomas W. Müller

Publication date: 10 April 2007

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2005.25.4.281

zbMATH Keywords

generating functionsfree productsnilpotent groupssubgroup growthDirichlet serieszeta functionsnumbers of subgroupsgeneralized partition functionshomomorphism numbers

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Nilpotent groups (20F18) Other Dirichlet series and zeta functions (11M41) Automorphisms of infinite groups (20E36) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Analytic theory of partitions (11P82)

Related Items (1)

Subgroup growth of right‐angled Artin and Coxeter groups

Cites Work

• Subgroups of finite index in nilpotent groups
• Über einen Satz von Dey und die Modulgruppe
• Decomposable functors and the exponential principle
• A zero‐free region for the Hecke L ‐functions
• Analytic properties of zeta functions and subgroup growth

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