Journals / International Electronic Journal of Algebra / 2023 / Cilt: 34 Sayı: 34

A note on the solvability of a finite group in which every non-nilpotent maximal subgroup is normal

Pages
207–209
Publication Date
2023-07-10
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We provide a new and simple proof to show that a finite group in which every non-nilpotent maximal subgroup is normal is solvable.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We provide a new and simple proof to show that a finite group in which every non-nilpotent maximal subgroup is normal is solvable.
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Key Findings & Data:We provide a new and simple proof to show that a finite group in which every non-nilpotent maximal subgroup is normal is solvable.
💡
Conclusion & Impact:We provide a new and simple proof to show that a finite group in which every non-nilpotent maximal subgroup is normal is solvable.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Non-nilpotent maximal subgroup · solvable group · normal subgroup of prime-power order

Abstract

We provide a new and simple proof to show that a finite group in which every non-nilpotent maximal subgroup is normal is solvable.

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Cite This Article

LIU, W., SHI, J., TIAN, Y. (2023). A note on the solvability of a finite group in which every non-nilpotent maximal subgroup is normal. International Electronic Journal of Algebra, Cilt: 34 Sayı: 34, 207–209. https://ajindex.com/articles/953325

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References (3)

  1. N. Li and J. Shi, A note on a finite group with all non-nilpotent maximal subgroups being normal, Ital. J. Pure Appl. Math., 42 (2019), 700-702.
  2. D. J. S. Robinson, A Course in the Theory of Groups (Second Edition), Springer-Verlag, New York, 1996.
  3. J. Shi, A finite group in which all non-nilpotent maximal subgroups are normal has a Sylow tower, Hokkaido Math. J., 48(2) (2019), 309-312.