Finite Frattini Factors in Finitely Generated Soluble Groups

DOI10.2307/2039093zbMath0277.20045OpenAlexW4238379281MaRDI QIDQ4402137

John C. Lennox

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2039093

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (9)

Locally (soluble-by-finite) groups with all proper insoluble subgroups of finite rank ⋮ Groups whose non-permutable subgroups are metaquasihamiltonian ⋮ Polycyclic Frattini factors in certain finitely generated groups ⋮ Infinite groups ⋮ GROUPS WHOSE NONNORMAL SUBGROUPS ARE METAHAMILTONIAN ⋮ Finite by nilpotent Frattini factors in finitely generated hyper-(Abelian by finite) groups ⋮ Groups with restricted non-permutable subgroups ⋮ Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank ⋮ Finite Frattini Factors in Finitely Generated Abelian-by-Polycyclic Groups

Cites Work

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• Nilgruppen
• On the Finiteness of Certain Soluble Groups
• Embedding Theorems for Groups
• Finiteness Conditions for Soluble Groups
• Representations of groups as quotient groups. II. Minimal central chains of a group

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