Enumerating finite class-2-nilpotent groups on 2 generators.

DOI10.1016/j.crma.2009.10.024zbMath1186.20017arXiv0908.1355OpenAlexW2138968846MaRDI QIDQ1046532

Christopher Voll

Publication date: 22 December 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1355

zbMATH Keywords

finite \(p\)-groupsenumerationEuler productszeta functionsfinite nilpotent groupsPORC conjectureDirichlet generating functions

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Other Dirichlet series and zeta functions (11M41) Finite nilpotent groups, (p)-groups (20D15) Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

• Subgroups of finite index in nilpotent groups
• Normal subgroup growth in free class-2-nilpotent groups.
• The \(p\)-group generation algorithm
• Zeta functions of groups and enumeration in Bruhat-Tits buildings
• Counting \(p\)-groups and nilpotent groups

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