Some Engel conditions on infinite subsets of certain groups

DOI10.1017/S0004972700018554zbMath0964.20019MaRDI QIDQ4515438

Alireza Abdollahi

Publication date: 5 July 2001

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

zbMATH Keywords

finitely generated subgroupsEngel conditionsEngel groupsinfinite subsetsfinitely generated soluble groupsascending central series

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Engel conditions (20F45)

Related Items (6)

A note on torsion-by-nilpotent groups. ⋮ Hyper-(Abelian-by-finite) groups with many subgroups of finite depth. ⋮ FINITELY GENERATED SOLUBLE GROUPS WITH A CONDITION ON INFINITE SUBSETS ⋮ Non-commuting graph of a group. ⋮ Groups in which certain equations have many solutions. ⋮ A COMBINATORIAL PROPERTY OF BURNSIDE VARIETY OF GROUPS OF FINITE EXPONENT

Cites Work

• ON SOME PROBLEMS OF GROUP THEORY AND LIE ALGEBRAS
• Two-Generator conditions for Residually Finite Groups
• A combinatorial property of certain infinite groups
• Weak Maximality Condition and Polycyclic Groups
• On certain residually finite groups
• A condition on finitely generated soluble groups
• Groups with no Free Subsemigroups

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