Solvable groups with certain finite homomorphic images cyclic

DOI10.1007/BF01194148zbMath0656.20035WikidataQ123094807 ScholiaQ123094807MaRDI QIDQ1109891

Robert F. Chamberlain

Publication date: 1988

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

zbMATH Keywords

nilpotent groups\(\pi \) -AFHC group\(\pi \) -FHC groupfinite homomorphic image cyclicmetabelian residually nilpotent group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Residual properties and generalizations; residually finite groups (20E26)

Related Items (1)

Finite Coverings by Normal Subgroups

Cites Work

• Unnamed Item
• Nilpotent groups with every finite homomorphic image cyclic
• A property of the lower central series of a group
• Metabelsche Gruppen
• A non-cyclic one-relator group all of whose finite quotients are cyclic

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