Conditions of quasi-nilpotency in certain varieties of groups

DOI10.1080/00927879408824852zbMath0813.20027OpenAlexW2008594814MaRDI QIDQ4282895

Françoise Point

Publication date: 23 May 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824852

zbMATH Keywords

finite soluble groupscommutator identitiesvariety of groupslinear groupsfinitely generated soluble groupnormal nilpotent subgroupsoluble linear groupmonoidal identities\(m\)-identitiesquasi-nilpotent groupssoluble stable groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Quasivarieties and varieties of groups (20E10) Classification theory, stability, and related concepts in model theory (03C45) Engel conditions (20F45) Other matrix groups over fields (20H20)

Related Items

Which Words have an Efficient Result? ⋮ Bounds for nilpotent-by-finite groups in certain varieties ⋮ Identites dans les groupes d'exposant quatre ⋮ Nilpotency criteria for multiplicative Lie algebras ⋮ Quelques resultats sur les m-identites ⋮ Nilpotent semigroups of matrices ⋮ Unnamed Item ⋮ NILPOTENT LINEAR SEMIGROUPS ⋮ Milnor identities

Cites Work

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• Groups with identities
• Groups with the minimal condition on centralizers
• Varieties of groups
• Subsemigroups of nilpotent groups