A combinatorial property of certain infinite groups

DOI10.1080/00927879408824916zbMath0803.20024OpenAlexW2034964494MaRDI QIDQ4288280

Orazio Puglisi, Lucia Serena Spiezia

Publication date: 5 January 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824916

zbMATH Keywords

infinite subsetsvariety of groupslocally finitelocally soluble\(k\)-Engel groupsinfinite \(E^*_ k\)-group

Mathematics Subject Classification ID

Quasivarieties and varieties of groups (20E10) Local properties of groups (20E25) Engel conditions (20F45)

Related Items

A characterization of third Engel groups ⋮ On a combinatorial problem in varieties of groups ⋮ A question of Paul Erdös and nilpotent-by-finite groups ⋮ Some conditions implying that an infinite group is Abelian ⋮ Some Engel conditions on infinite subsets of certain groups

Cites Work

• Infinite locally soluble \(k\)-Engel groups
• Finite groups of automorphisms of locally soluble groups
• MONOMORPHISMS AND DIRECT LIMITS OF FINITE GROUPS OF LIE TYPE
• Infinite groups in a given variety and ramsey's theorem
• On Infinite Locally Finite Groups
• On some criteria of locally nilpotent groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item