LOCAL NILPOTENCY IN VARIETIES OF GROUPS WITH OPERATORS

DOI10.1070/SM1994V078N02ABEH003475zbMath0820.20033MaRDI QIDQ4319682

Eugenii I. Khukhro

Publication date: 20 February 1995

Published in: Russian Academy of Sciences. Sbornik Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite \(p\)-groupsfree groupsmultilinear identitieslocally nilpotent groupsnilpotency classvariety of groupsBurnside problemassociated Lie ringsgroup identitiesfinite group of operatorsvarieties of groups with operators\(d\)-generator groupsLie ring identitieslocally nilpotent variety of Lie rings

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Identities, free Lie (super)algebras (17B01) Automorphisms of abstract finite groups (20D45) Free nonabelian groups (20E05) Finite nilpotent groups, (p)-groups (20D15) Quasivarieties and varieties of groups (20E10) Local properties of groups (20E25) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Associated Lie structures for groups (20F40)

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Fitting height of finite groups admitting a fixed-point-free automorphism satisfying an additional polynomial identity ⋮ Finite groups admitting a coprime automorphism satisfying an additional polynomial identity

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