A note on groups with nilpotent-by-finite proper subgroups

DOI10.1007/BF01198065zbMath0857.20014OpenAlexW1967763286MaRDI QIDQ1924556

Richard E. Phillips, Brunella Bruno

Publication date: 3 March 1997

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

Full work available at URL: https://doi.org/10.1007/bf01198065

zbMATH Keywords

finitely generated subgroupsnilpotent-by-finite groupsAF-groupsascending sequences of nilpotent normal subgroupsminimal non-nilpotent-by-finite groupsNF-groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items (10)

Linear groups with the minimal condition on subgroups of infinite central dimension. ⋮ Groups whose proper subgroups are metahamiltonian-by-finite ⋮ A note on groups whose proper subgroups are quasihamiltonian-by-finite ⋮ Unnamed Item ⋮ Uncountable groups with restrictions on subgroups of large cardinality. ⋮ Cohopfian groups and accessible group classes ⋮ Linear groups whose proper subgroups are close to being nilpotent ⋮ Groups with all proper subgroups soluble-by-finite rank. ⋮ On groups with all proper subgroups finite-by-abelian-by-finite ⋮ Groups whose proper subgroups of infinite rank are finite-by-hypercentral or hypercentral-by-finite

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A note on groups with nilpotent-by-finite proper subgroups