On locally finite groups factorized by locally nilpotent subgroups

DOI10.1016/0022-4049(95)00004-6zbMath0847.20037OpenAlexW1985914921MaRDI QIDQ1910747

Francesco de Giovanni, Yaroslav P. Sysak, Silvana Franciosi

Publication date: 30 May 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00004-6

zbMATH Keywords

minimal normal subgroupslocally nilpotent subgroupsproducts of nilpotent subgroupsperiodic radical groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25) Products of subgroups of abstract finite groups (20D40)

Related Items

An extension of the Kegel–Wielandt theorem to locally finite groups ⋮ Periodic radical products of two locally nilpotent subgroups ⋮ Minimal normal subgroups of dinilpotent groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On finite dinilpotent groups
• Triple factorizations by abelian groups
• The product of two finite nilpotent groups and its Fitting series
• Products of finite nilpotent groups
• On periodic subgroups of factorized groups
• On the Fitting series of the product of two finite nilpotent groups
• Groups with finite torsion-free rank which have a locally nilpotent triple factorization
• Saturated formations and Sylow structure in locally finite groups
• Zur Struktur mehrfach faktorischer endlicher Gruppen
• On products of nilpotent groups