Nilpotent groups with every finite homomorphic image cyclic

DOI10.1007/BF01200221zbMath0633.20023OpenAlexW1969092223WikidataQ122192920 ScholiaQ122192920MaRDI QIDQ1096014

Luise-Charlotte Kappe, Robert F. Chamberlain

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01200221

zbMATH Keywords

torsion subgroupnilpotent groupsupper central factorsderived groupfinite homomorphic imageAFHC- groupsFHC-groupslocally free FHC-groupslower central factor groupsNFHC-groupsnilpotent FHC-groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Nilpotent groups (20F18) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14)

Related Items

Finite Coverings by Normal Subgroups, Solvable groups with certain finite homomorphic images cyclic, Groups with minimax factor groups

Cites Work

• The classification of certain classes of torsion free Abelian groups
• Abelian groups without elements of finite order
• Groups That are the Union of Finitely Many Proper Subgroups
• A non-cyclic one-relator group all of whose finite quotients are cyclic
• A non-cyclic, locally free, free-by-cyclic group all of whose finite factor groups are cyclic
• Groups Covered By Permutable Subsets
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