Profinite groups with a rational probabilistic zeta function

DOI10.1515/JGT.2006.014zbMath1111.20031OpenAlexW1980657310MaRDI QIDQ5471278

Eloisa Detomi, Andrea Lucchini

Publication date: 6 June 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2006.014

zbMATH Keywords

subgroups of finite indexsubgroup growthprofinite groupsDirichlet polynomialsprobabilistic zeta functionsFrattini subgroupprosoluble groups

Mathematics Subject Classification ID

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

Related Items (2)

Non-prosoluble profinite groups with a rational probabilistic zeta function ⋮ Finiteness of Profinite Groups with a Rational Probabilistic Zeta Function

Cites Work

• Crowns and factorization of the probabilistic zeta function of a finite group.
• PROFINITE GROUPS WITH MULTIPLICATIVE PROBABILISTIC ZETA FUNCTION
• Positively finitely generated groups

This page was built for publication: Profinite groups with a rational probabilistic zeta function