Generalized Igusa functions and ideal growth in nilpotent Lie rings

zbMath1448.11171arXiv1903.03090MaRDI QIDQ2199868

Angela Carnevale, Christopher Voll, Michael M. Schein

Publication date: 14 September 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03090

zbMATH Keywords

subgroup growthweak ordersnormal zeta functionscombinatorial reciprocity theoremIgusa functions

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Nilpotent groups (20F18) Other Dirichlet series and zeta functions (11M41) Solvable, nilpotent (super)algebras (17B30) Zeta functions and (L)-functions (11S40) Combinatorial aspects of groups and algebras (05E16)

Related Items (9)

Zeta functions of the 3-dimensional almost-Bieberbach groups ⋮ Enumerating conjugacy classes of graphical groups over finite fields ⋮ Ideal growth in amalgamated powers of nilpotent rings of class two and zeta functions of quiver representations ⋮ Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints ⋮ The cotype zeta function of \(\mathbb{Z}^d\) ⋮ Generalized Igusa functions and ideal growth in nilpotent Lie rings ⋮ Zeta functions enumerating normal subgroups of \(\mathfrak{T}_2\)-groups and their behavior on residue classes ⋮ On the degree of polynomial subgroup growth of nilpotent groups ⋮ Pro-isomorphic zeta functions of nilpotent groups and Lie rings under base extension

Uses Software

• Zeta

Cites Work

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