Closed normal subgroups of free pro-S-groups of finite rank

DOI10.1515/JGT.2011.079zbMath1251.20029OpenAlexW2041114038MaRDI QIDQ2882811

Andrea Lucchini

Publication date: 7 May 2012

Published in: jgth (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2011.079

zbMATH Keywords

subgroups of finite indexnumbers of generatorscomposition factorsprofinite groupsclosed subgroupsiterated wreath productscrown-based powersfree pro-\(\mathcal S\) groupsmaximal open normal subgroupspoly-\(S\) groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05) Limits, profinite groups (20E18)

Related Items (1)

The probability of generating a finite simple group.

Cites Work

• The probability of generating a finite simple group
• On pro-S groups
• NORMAL SUBGROUPS OF FREE PROFINITE GROUPS
• The smallest group with non-zero presentation rank
• Random normal subgroups of free profinite groups
• On groups withd-generator subgroups of coprime index
• PROBABILISTIC GENERATION OF WREATH PRODUCTS OF NON-ABELIAN FINITE SIMPLE GROUPS, II

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