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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
If every subgroup of G containing F is subnormal in G, then G is nilpotent.
📌 3 Key Takeaways
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Objective & Hypothesis:The main result in this paper is the following: Let G be a torsion-free locally nilpotent group and let F be a finitely generated subgroup of G.
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Key Findings & Data:The main result in this paper is the following: Let G be a torsion-free locally nilpotent group and let F be a finitely generated subgroup of G.
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Conclusion & Impact:If every subgroup of G containing F is subnormal in G, then G is nilpotent.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2004) · 383-386. Full text: pdf Other articles published in the same issue: Turk. J. Math.
Abstract
The main result in this paper is the following: Let G be a torsion-free locally nilpotent group and let F be a finitely generated subgroup of G. If every subgroup of G containing F is subnormal in G, then G is nilpotent.
Özet
The main result in this paper is the following: Let G be a torsion-free locally nilpotent group and let F be a finitely generated subgroup of G. If every subgroup of G containing F is subnormal in G, then G is nilpotent.
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Cite This Article
ÖZEN, T. (2022). A Generalization of a Result on Torsion-Free Groups With all Subgroups Subnormal. Turkish Journal of Mathematics, Cilt: 28 - Sayı: 4, 383–386. https://ajindex.com/articles/608784