An insoluble \((p-2)\)-Engel group of exponent \(p\).

DOI10.1016/j.jalgebra.2009.11.002zbMath1202.20041OpenAlexW2047577582MaRDI QIDQ961035

Michael Vaughan-Lee

Publication date: 29 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.11.002

zbMATH Keywords

associated Lie algebraslocally nilpotent groupsinsoluble groupsrestricted Burnside problem\(n\)-Engel groupsgroups of prime exponent

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Identities, free Lie (super)algebras (17B01) Local properties of groups (20E25) Engel conditions (20F45) Associated Lie structures for groups (20F40)

Cites Work

• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• A nonsolvable group of exponent 5
• Third Engel groups and the Macdonald-Neumann conjecture
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