Weakly maximal subgroups in regular branch groups.

DOI10.1016/j.jalgebra.2016.02.009zbMath1347.20026arXiv1502.07283OpenAlexW2201685606MaRDI QIDQ267417

Tatiana Nagnibeda, Khalid Bou-Rabee, Paul-Henry Leemann

Publication date: 8 April 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07283

zbMATH Keywords

parabolic subgroupsbranch groupsGrigorchuk groupgroups acting on regular rooted treessubgroups of infinite indexweakly maximal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Geometric group theory (20F65) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08)

Related Items (3)

Finitely generated subgroups of branch groups and subdirect products of just infinite groups ⋮ Maximal subgroups of groups of intermediate growth ⋮ Maximal Subgroups and Irreducible Representations of Generalized Multi-Edge Spinal Groups

Cites Work

• Finite generation of iterated wreath products.
• Some topics in the dynamics of group actions on rooted trees.
• On the Burnside problem for periodic groups
• On Burnside's problem on periodic groups
• The uniqueness of the actions of certain branch groups on rooted trees.
• Rigidity of branch groups acting on rooted trees
• Abstract commensurability and the Gupta-Sidki group
• Maximal subgroups of multi-edge spinal groups
• MAXIMAL SUBGROUPS OF SOME NON LOCALLY FINITE p-GROUPS
• A STRUCTURAL PROPERTY CONCERNING ABSTRACT COMMENSURABILITY OF SUBGROUPS
• GGS-groups: Order of congruence quotients and Hausdorff dimension
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