Journals / Gazi Üniversitesi Fen Bilimleri Dergisi / 2004 / Cilt: 17 - Sayı: 4

Baer grubunun derived (türetilmiş) serisi

On the derived series of Baer groups

Pages
115–119
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

In this article it is proved that the derived series of a Baer p -group terminates after a finite number of steps.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article it is proved that the derived series of a Baer p -group terminates after a finite number of steps.
📊
Key Findings & Data:In this article it is proved that the derived series of a Baer p -group terminates after a finite number of steps.
💡
Conclusion & Impact:In this article it is proved that the derived series of a Baer p -group terminates after a finite number of steps.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this article it is proved that the derived series of a Baer p -group terminates after a finite number of steps.

Özet

Bu makalede bir Baer p-grubun derived (türetilmiş) serisinin uzunluğunun sonlu adımda durduğu gösterilmiştir.

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Cite This Article

ERCAN, S. (2022). Baer grubunun derived (türetilmiş) serisi. Gazi Üniversitesi Fen Bilimleri Dergisi, Cilt: 17 - Sayı: 4, 115–119. https://ajindex.com/articles/521732

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References (7)

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  2. McDougall, D., "The subnormal structure of some classes of soluble groups", Austral, Math. Soc. 13: 365-377(1972)
  3. Möhres, W., "Gruppen, deren untergruppen aile subnormal sind", Doctoral dissertation, Wurzburg (1988)
  4. Casolo, C., "Groups in which all subgroups are subnormal" Rendiconti Academia Nazionale delle Scienze detta dei XL Vol. X, fasc. 22: 247-249 (1986)
  5. Brookes, C. J. B. "Groups with every subgroup subnormal", Bull. London Math. Soc. 15: 235-238 (1983)
  6. Roseblade, J. E., "On groups in which every subgroup is subnormal", J. Algebra 2:402-412 (1965)
  7. Robinson, D. J. S., A course in the theory of groups, Springer-Verlag, Heidelberg-Berlin-New York (1982).