Milnor identities

DOI10.1080/00927879608825783zbMath0866.20035OpenAlexW4248151601MaRDI QIDQ4714523

Françoise Point

Publication date: 14 July 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825783

zbMATH Keywords

elementary amenable groupsEngel identities\(r\)-generator soluble groupsEngel-type identitiesMilnor identitiesMilnor propertiesweak \(\ell\)-Milnor property

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Engel conditions (20F45)

Related Items (9)

Which Words have an Efficient Result? ⋮ Milnor Property in Finitely Generated Soluble Groups ⋮ Bounds for nilpotent-by-finite groups in certain varieties ⋮ Groups satisfying semigroup laws, and nilpotent-by-Burnside varieties ⋮ Which words spell ``almost nilpotent? ⋮ What do the Engel laws and positive laws have in common? ⋮ Group Laws [x,y⁻¹ ≡ u(x,y) and Varietal Properties] ⋮ Group Laws Implying Virtual Nilpotence ⋮ Milnor's alternative for finitely generated relatively free groups that are locally graded

Cites Work

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• Groups with identities
• Characterization of \(p\)-adic analytic groups in terms of wreath products
• Combinatorial conditions in residually finite groups. I
• Combinatorial conditions in residually finite groups. II
• Free subgroups in linear groups
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• Two-Generator conditions for Residually Finite Groups
• Conditions of quasi-nilpotency in certain varieties of groups

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