Groups covered by finitely many nilpotent subgroups

DOI10.1017/S0004972700013575zbMath0824.20034OpenAlexW1999419328MaRDI QIDQ4325749

Gérard Endimioni

Publication date: 30 October 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700013575

zbMATH Keywords

Engel conditionscommutatorsfinitely generated soluble groupsinfinite sets of elementsfinite coverings by nilpotent subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Engel conditions (20F45)

Related Items (5)

Hyper-(Abelian-by-finite) groups with many subgroups of finite depth. ⋮ Engel graph associated with a group. ⋮ Ensuring a Group is Weakly Nilpotent ⋮ FINITELY GENERATED SOLUBLE GROUPS WITH A CONDITION ON INFINITE SUBSETS ⋮ Non-Nilpotent Graph of a Group

Cites Work

• On groups with nilpotent derived groups
• Engel Elements of Soluble Groups
• Infinite groups in a given variety and ramsey's theorem

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