Zeta functions of finite groups by enumerating subgroups

DOI10.1080/00927872.2016.1236929zbMath1400.20015arXiv1410.4326OpenAlexW2111623326MaRDI QIDQ4978395

Yumiko Hironaka

Publication date: 10 August 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4326

zbMATH Keywords

local densities of square matricesenumerating subgroups of abelian \(p\)-groupsenumerating subgroups of finite groupszeta functions of finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Finite abelian groups (20K01) Other Dirichlet series and zeta functions (11M41)

Related Items (1)

Counting subgroups of fixed order in finite abelian groups

Cites Work

• Unnamed Item
• Subgroups of finite index in nilpotent groups
• On computing the number of subgroups of a finite Abelian group
• Finitely generated groups, \(p\)-adic analytic groups and Poincaré series
• Analytic properties of zeta functions and subgroup growth

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