Abstract commensurability and the Gupta-Sidki group

DOI10.4171/GGD/355zbMath1373.20047arXiv1310.0493MaRDI QIDQ2630761

Alejandra Garrido

Publication date: 22 July 2016

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0493

zbMATH Keywords

Grigorchuk groupabstractly commensurableGupta-Sidki groupsstructure of finitely generated subgroupssubgroup separablity (LERF)

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08) Infinite automorphism groups (20B27)

Related Items (10)

Weakly maximal subgroups in regular branch groups. ⋮ Finitely generated subgroups of branch groups and subdirect products of just infinite groups ⋮ Maximal subgroups of groups of intermediate growth ⋮ On the Cantor-Bendixson rank of the Grigorchuk group and the Gupta-Sidki 3 group ⋮ On subgroups of finite index in branch groups. ⋮ BRANCH GROUPS, ORBIT GROWTH, AND SUBGROUP GROWTH TYPES FOR PRO- GROUPS ⋮ On the residual and profinite closures of commensurated subgroups ⋮ On commensurability of right-angled Artin groups II: RAAGs defined by paths ⋮ The congruence subgroup problem for a family of branch groups ⋮ Computability of finite quotients of finitely generated groups

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