Combinatorial conditions in residually finite groups. II

DOI10.1006/jabr.1993.1090zbMath0814.20023OpenAlexW2050853864MaRDI QIDQ1802206

Aner Shalev

Publication date: 15 June 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1090

zbMATH Keywords

locally nilpotent groupresidually finite grouplocally nilpotent varietygroup of finite exponent\(d\)-generated subgroupcollapsing groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Residual properties and generalizations; residually finite groups (20E26) Local properties of groups (20E25)

Related Items (22)

On Positive Law Problems in the Class of Locally Graded Groups ⋮ Which Words have an Efficient Result? ⋮ On some classes of orderable groups ⋮ Bounds for nilpotent-by-finite groups in certain varieties ⋮ On profinite groups with word values covered by nilpotent subgroups ⋮ Groups satisfying semigroup laws, and nilpotent-by-Burnside varieties ⋮ On groups covered by locally nilpotent subgroups ⋮ Multiplicatively collapsing and rewritable algebras ⋮ Growth of unbounded sets in nilpotent groups and random mapping statistics ⋮ Which words spell ``almost nilpotent? ⋮ Nilpotent semigroups of matrices ⋮ Words and Almost Nilpotent Varieties of Groups^# ⋮ Growth conditions in infinitely generated groups. ⋮ Groups with no Free Subsemigroups ⋮ Groups with a positive law on commutators. ⋮ On right \(n\)-Engel subgroups. ⋮ CHARACTERISTIC RELATIONS FOR A FINITE-BY-NILPOTENT GROUP ⋮ NILPOTENT LINEAR SEMIGROUPS ⋮ Milnor identities ⋮ Group Laws Implying Virtual Nilpotence ⋮ Asymptotic growth of finite groups ⋮ Collapsing groups and positive laws

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