On the probabilistic ζ-function of pro(finite-soluble) groups

DOI10.1515/FORM.2005.17.4.669zbMath1084.20020OpenAlexW1995607269MaRDI QIDQ5692985

Thomas S. Weigel

Publication date: 28 September 2005

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2005.17.4.669

zbMATH Keywords

cohomology groupsnumbers of generatorsrandom elementsabsolute Galois groupsprosoluble groupscompleted group algebrasEuler functionsprobabilistic \(\zeta\)-functions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Other Dirichlet series and zeta functions (11M41) Limits, profinite groups (20E18) Probabilistic methods in group theory (20P05)

Related Items (2)

The expected number of random elements to generate a finite group ⋮ The generation of the augmentation ideal in profinite groups.

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