On profinite groups in which commutators are Engel

DOI10.1017/S144678870000224XzbMath0982.20013MaRDI QIDQ2726646

P. V. Shumyatskij

Publication date: 18 December 2001

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Engel groupsfinitely generated profinite groupscommutatorslower central seriesEngel elementsassociated Lie rings

Mathematics Subject Classification ID

Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Engel conditions (20F45) Limits, profinite groups (20E18) Associated Lie structures for groups (20F40)

Related Items (5)

WORDS AND PRONILPOTENT SUBGROUPS IN PROFINITE GROUPS ⋮ On words that are concise in residually finite groups. ⋮ On compact groups with Engel-like conditions ⋮ On profinite groups with Engel-like conditions. ⋮ Profinite groups with restricted centralizers of commutators

Cites Work

• Identities for Lie algebras of pro-\(p\) groups
• On periodic compact groups
• On the structure of compact torsion groups
• Free subgroups in linear groups
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• Two-Generator conditions for Residually Finite Groups
• On residually finite groups in which commutators are engel
• On groups with commutators of bounded order
• Endliche Gruppen I
• Subgroups of finite index in profinite groups

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