Nilpotent subgroups and the hypercentre of infinite soluble groups

DOI10.1007/BF01188666zbMath0671.20028MaRDI QIDQ1119739

James Wiegold, Peter M. Neumann, John C. Lennox

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

nilpotent subgroupfinitely generated abelian-by-nilpotent-by-abelian groupfinitely generated nilpotent-by- nilpotent groupsnilpotent-by-abelian-by-nilpotent groupsnon-nilpotent hypercentre

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Derived series, central series, and generalizations for groups (20F14)

Cites Work

• Unnamed Item
• Centrality in finitely generated soluble groups
• The upper central series in soluble groups
• On the Finiteness of Certain Soluble Groups
• Finiteness Conditions for Soluble Groups