Finiteness of Profinite Groups with a Rational Probabilistic Zeta Function

DOI10.1080/00927872.2014.990023zbMath1344.20039arXiv1305.4911OpenAlexW1654494446MaRDI QIDQ2802224

Duong Hoang Dung

Publication date: 25 April 2016

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

Full work available at URL: https://arxiv.org/abs/1305.4911

zbMATH Keywords

maximal subgroupsfinitely generated profinite groupsprobabilistic zeta function

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other Dirichlet series and zeta functions (11M41) Simple groups: alternating groups and groups of Lie type (20D06) Limits, profinite groups (20E18) Probabilistic methods in group theory (20P05)

Cites Work

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• On the subgroups with non-trivial Möbius number
• Positively finitely generated groups
• Subgroups of solvable groups with non-zero Möbius function
• COEFFICIENTS OF THE PROBABILISTIC FUNCTION OF A MONOLITHIC GROUP
• Profinite groups with a rational probabilistic zeta function
• Non-prosoluble profinite groups with a rational probabilistic zeta function
• THE EULERIAN FUNCTIONS OF A GROUP
• On the interval containing at least one prime number

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