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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We prove that if G is a periodic group with all subgroups subnormal, and if for every x, y \in G, G is an FC-group, then G is nilpotent.
📌 3 Key Takeaways
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Objective & Hypothesis:We prove that if G is a periodic group with all subgroups subnormal, and if for every x, y \in G, G is an FC-group, then G is nilpotent.
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Key Findings & Data:We prove that if G is a periodic group with all subgroups subnormal, and if for every x, y \in G, G is an FC-group, then G is nilpotent.
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Conclusion & Impact:We prove that if G is a periodic group with all subgroups subnormal, and if for every x, y \in G, G is an FC-group, then G is nilpotent.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2004) · 415-418. Full text: pdf Other articles published in the same issue: Turk. J. Math.
Abstract
We prove that if G is a periodic group with all subgroups subnormal, and if for every x, y \in G, G is an FC-group, then G is nilpotent.
Özet
We prove that if G is a periodic group with all subgroups subnormal, and if for every x, y \in G, G is an FC-group, then G is nilpotent.
Keywords
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Cite This Article
ARIKAN, A., ÖZEN, T. (2022). A Note On Groups With All Subgroups Subnormal. Turkish Journal of Mathematics, Cilt: 28 - Sayı: 4, 415–418. https://ajindex.com/articles/608755