On the degree of polynomial subgroup growth in class 2 nilpotent groups.

DOI10.1007/s11856-006-0014-2zbMath1119.20027OpenAlexW2076891951MaRDI QIDQ877479

Pirita Maria Paajanen

Publication date: 23 April 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-006-0014-2

zbMATH Keywords

generating functionssubgroups of finite indexnilpotent groupsfunctional equationsDirichlet seriesnormal subgroup growthnormal zeta functionsHirsch lengths

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Nilpotent groups (20F18) Other Dirichlet series and zeta functions (11M41)

Related Items (3)

Full residual finiteness growths of nilpotent groups ⋮ The normal zeta function of the free class two nilpotent group on four generators. ⋮ On the degree of polynomial subgroup growth of nilpotent groups

Cites Work

• Subgroups of finite index in nilpotent groups
• The normal zeta function of the free class two nilpotent group on four generators.
• Linear Bounds for the Degree of Subgroup Growth in Terms of the Hirsch Length
• Analytic properties of zeta functions and subgroup growth
• A nilpotent group and its elliptic curve: non-uniformity of local zeta functions of groups

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