Construction of p-groups of intermediate growth that have a continuum of quotient groups

DOI10.1007/BF02071786zbMath0573.20037MaRDI QIDQ1063115

Rostislav I. Grigorchuk

Publication date: 1984

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187277

zbMATH Keywords

2-generator finitely approximable 2-groups of intermediate growthfinitely approximable finitely generated p-groupfinitely approximable p-groupsproper quotient groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Residual properties and generalizations; residually finite groups (20E26)

Related Items (9)

On the 3-state Mealy automata over an \(m\)-symbol alphabet of growth order \([n^{\log n/2\log m}\).] ⋮ The number of homomorphic images of certain Golod groups and algebras ⋮ Existentially closed locally cofinite groups ⋮ Universal groups of intermediate growth and their invariant random subgroups ⋮ On growth of generalized Grigorchuk's overgroups ⋮ Amenable groups without finitely presented amenable covers ⋮ Influence of the structure of a graph on its automorphisms ⋮ Intermediate growth in finitely presented algebras ⋮ Construction of p-groups of intermediate growth that have a continuum of quotient groups

Cites Work

• Unnamed Item
• Construction of p-groups of intermediate growth that have a continuum of quotient groups
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• A note on curvature and fundamental group
• Embedding Methods for Periodic Groups
• Non-Isomorphic Burnside Groups of Exponent p 2

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