MAXIMAL SUBGROUPS OF SOME NON LOCALLY FINITE p-GROUPS

DOI10.1142/S0218196705002803zbMath1109.20032OpenAlexW2116802568MaRDI QIDQ3379487

E. L. Pervova

Publication date: 6 April 2006

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196705002803

zbMATH Keywords

group algebrasmaximal subgroupsgroups acting on treesaugmentation idealsBurnside groupsrepresentations of groupsGGS-groupsdense subgroupsfinitely generated infinite periodic groups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Periodic groups; locally finite groups (20F50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Groups acting on trees (20E08)

Related Items (12)

Weakly maximal subgroups in regular branch groups. ⋮ Maximal subgroups of groups of intermediate growth ⋮ Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups ⋮ On maximal subgroups of infinite index in branch and weakly branch groups ⋮ BRANCH GROUPS, ORBIT GROWTH, AND SUBGROUP GROWTH TYPES FOR PRO- GROUPS ⋮ The non-commuting, non-generating graph of a nilpotent group ⋮ Ordering the space of finitely generated groups ⋮ Hausdorff dimension of the second Grigorchuk group ⋮ On the residual and profinite closures of commensurated subgroups ⋮ Maximal Subgroups and Irreducible Representations of Generalized Multi-Edge Spinal Groups ⋮ On the congruence subgroup property for GGS-groups ⋮ Nielsen equivalence in Gupta-Sidki groups

Cites Work

• DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
• A Primitive Ring Associated to a Burnside 3-Group

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