Groups with identities

DOI10.1016/0168-0072(89)90060-2zbMath0697.20013OpenAlexW2073206611MaRDI QIDQ910848

Françoise Point

Publication date: 1989

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(89)90060-2

zbMATH Keywords

soluble grouplocally finite groupnilpotent subgrouplocally quasi-nilpotentelimination of inversesk-generator subgrouplocally nilpotent normal subgroupmonoidal disjunctionsolubility length

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Model-theoretic algebra (03C60) Quasivarieties and varieties of groups (20E10) Local properties of groups (20E25) Equational classes, universal algebra in model theory (03C05)

Related Items (3)

Which Words have an Efficient Result? ⋮ Conditions of quasi-nilpotency in certain varieties of groups ⋮ Milnor identities

Cites Work

• Amenable semigroups
• Gromov's theorem on groups of polynomial growth and elementary logic
• Groups with the minimal condition on centralizers
• Elementary amenable groups
• Growth of finitely generated solvable groups
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• RANDOM WALKS ON FREE PERIODIC GROUPS
• Varieties of groups
• Invariant Measures and Growth Conditions
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