Groups of positive weighted deficiency and their applications

DOI10.1515/crelle.2012.013zbMath1285.20031arXiv1007.1489OpenAlexW2964277930MaRDI QIDQ4921706

Andrei Jaikin-Zapirain, Mikhail V. Ershov

Publication date: 13 May 2013

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1489

zbMATH Keywords

presentationsfinitely generated subgroupsGolod-Shafarevich inequalityjust infinite pro-\(p\) groupspro-\(p\)-completionsweighted deficiencieshereditarily just-infinite groupsPWD-groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

Related Items (10)

Maximal subgroups of groups of intermediate growth ⋮ THE LOWER RANK OF DIRECT PRODUCTS OF HEREDITARILY JUST INFINITE GROUPS ⋮ BRANCH GROUPS, ORBIT GROWTH, AND SUBGROUP GROWTH TYPES FOR PRO- GROUPS ⋮ Pro‐p groups of positive rank gradient and Hausdorff dimension ⋮ The Tarski numbers of groups ⋮ Embedding properties of hereditarily just infinite profinite wreath products ⋮ Property (T), finite-dimensional representations, and generic representations ⋮ Large normal subgroup growth and large characteristic subgroup growth ⋮ On the residual and profinite closures of commensurated subgroups ⋮ Maximal Subgroups and Irreducible Representations of Generalized Multi-Edge Spinal Groups

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