Groups Whose Finite Homomorphic Images are Metahamiltonian

DOI10.1080/00927870802337168zbMath1178.20033OpenAlexW2164615246MaRDI QIDQ3395211

Maria De Falco, Carmela Musella, Francesco de Giovanni

Publication date: 24 August 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802337168

zbMATH Keywords

finite homomorphic imagesmetahamiltonian groupsfinitely generated soluble groupssoluble minimax groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (13)

A note on groups whose non-normal subgroups are either abelian or minimal non-abelian ⋮ The metanorm and its influence on the group structure ⋮ A local study of group classes ⋮ The metanorm, a characteristic subgroup: embedding properties ⋮ Groups whose proper subgroups are metahamiltonian-by-finite ⋮ GROUPS WHOSE NONNORMAL SUBGROUPS ARE METAHAMILTONIAN ⋮ On a class of metahamiltonian groups. ⋮ A note on locally graded minimal non-metahamiltonian groups ⋮ Infinite groups with rank restrictions on subgroups. ⋮ Groups with restrictions on subgroups of infinite rank. ⋮ Groups with restricted non-permutable subgroups ⋮ GROUPS WITH MANY PRONORMAL SUBGROUPS ⋮ A constructive approach to accessible group classes

Cites Work

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• Products of groups with finite rank
• Groups with many \(FC\)-subgroups
• A theorem on finitely generated hyperabelian groups
• Residual Properties of Some Classes of Infinite Soluble Groups

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