scientific article; zbMATH DE number 923862

zbMath0860.20031MaRDI QIDQ4891348

Efim I. Zelmanov

Publication date: 15 April 1997

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zbMATH Keywords

surveyrelationsgeneratorsLie algebrascommutatorspolynomial identitiesEngel Lie algebrascongruence subgroupsLie ringsdescending central seriespro-\(p\)-groupslower \(p\)-central seriesrestricted Burnside problemresidually finite \(p\)-groupsPI Lie algebrasgroups of prime-power exponentfinitely generated periodic residually-\(p\) groupsGolod-Shafarevich inequalitiessandwich Lie algebras

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Identities, free Lie (super)algebras (17B01) Residual properties and generalizations; residually finite groups (20E26) Solvable, nilpotent (super)algebras (17B30) Derived series, central series, and generalizations for groups (20F14) Engel conditions (20F45) Limits, profinite groups (20E18) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Associated Lie structures for groups (20F40) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

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