Inverse system characterizations of the (hereditarily) just infinite property in profinite groups

DOI10.1112/BLMS/BDR099zbMath1251.20030arXiv1708.08301OpenAlexW1967906377MaRDI QIDQ2893257

Colin D. Reid

Publication date: 19 June 2012

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08301

zbMATH Keywords

subgroups of finite indexprofinite groupshereditarily just infinite groupspro-\(p\)-groupsopen normal subgroupsinverse limits of finite groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

Related Items (5)

Free subgroups of inverse limits of iterated wreath products of non-abelian finite simple groups in primitive actions ⋮ Profinite just infinite residually solvable Lie algebras ⋮ The structure of groups with all proper quotients virtually nilpotent ⋮ Embedding properties of hereditarily just infinite profinite wreath products ⋮ Hereditarily just infinite profinite groups with complete Hausdorff dimension spectrum

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