The top of the lattice of normal subgroups of the Grigorchuk group

DOI10.1006/jabr.2001.8952zbMath0998.20036OpenAlexW2001070762MaRDI QIDQ5956264

Fabio Scarabotti, Filippo Tolli, Tullio G. Ceccherini Silberstein

Publication date: 3 September 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8952

zbMATH Keywords

normal subgroupssubgroups of finite indexsubgroup latticeslower central seriescongruence propertyGrigorchuk groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Groups acting on trees (20E08)

Related Items (5)

Finitely generated subgroups of branch groups and subdirect products of just infinite groups ⋮ Unnamed Item ⋮ Algorithms for finitely \(L\)-presented groups and their applications to some self-similar groups. ⋮ THE GROUP OF AUTOMORPHISMS OF A 3-GENERATED 2-GROUP OF INTERMEDIATE GROWTH ⋮ Bertrand's postulate and subgroup growth.

Cites Work

• On Burnside's problem on periodic groups
• Lower central series of a group of tree automorphisms
• Cyclic renormalization and automorphism groups of rooted trees
• DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The top of the lattice of normal subgroups of the Grigorchuk group