Engel values in residually finite groups.

DOI10.1007/S00605-006-0407-7zbMath1140.20026OpenAlexW2018825953MaRDI QIDQ2471814

P. V. Shumyatskij

Publication date: 18 February 2008

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-006-0407-7

zbMATH Keywords

periodic groupslocally finite groupscommutatorsresidually finite groupsverbal subgroupsrestricted Burnside problemEngel identities

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Residual properties and generalizations; residually finite groups (20E26) Local properties of groups (20E25) Engel conditions (20F45)

Related Items (2)

ON VERBAL SUBGROUPS IN RESIDUALLY FINITE GROUPS ⋮ Engel words and the restricted Burnside problem.

Cites Work

• Identities for Lie algebras of pro-\(p\) groups
• Bounding the exponent of a finite group with automorphisms
• On varieties arising from the solution of the restricted Burnside problem
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• ON A BASIS OF THE PRODUCT OF VARIETIES OF GROUPS. II
• The derived subgroup of a group with commutators of bounded order can be non-periodic
• Verbal subgroups in residually finite groups

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