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

Yıl 2023, Cilt: 34 Sayı: 34, 207 - 209, 10.07.2023

Wenjing Lıu Jiangtao Shı Yunfeng Tıan

https://doi.org/10.24330/ieja.1252751

Öz

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

Anahtar Kelimeler

Non-nilpotent maximal subgroup solvable group normal subgroup of prime-power order

Kaynakça

  • 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.
  • D. J. S. Robinson, A Course in the Theory of Groups (Second Edition), Springer-Verlag, New York, 1996.
  • 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.

Yıl 2023, Cilt: 34 Sayı: 34, 207 - 209, 10.07.2023

Wenjing Lıu Jiangtao Shı Yunfeng Tıan

https://doi.org/10.24330/ieja.1252751

Öz

Anahtar Kelimeler

Non-nilpotent maximal subgroup solvable group normal subgroup of prime-power order

Kaynakça

  • 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.
  • D. J. S. Robinson, A Course in the Theory of Groups (Second Edition), Springer-Verlag, New York, 1996.
  • 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.
Toplam 3 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Wenjing Lıu Bu kişi benim

Jiangtao Shı Bu kişi benim

Yunfeng Tıan Bu kişi benim

Erken Görünüm Tarihi 11 Mayıs 2023
Yayımlanma Tarihi 10 Temmuz 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 34 Sayı: 34

Kaynak Göster

APA Lıu, W., Shı, J., & Tıan, 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, 34(34), 207-209. https://doi.org/10.24330/ieja.1252751
AMA Lıu W, Shı J, Tıan Y. A note on the solvability of a finite group in which every non-nilpotent maximal subgroup is normal. IEJA. Temmuz 2023;34(34):207-209. doi:10.24330/ieja.1252751
Chicago Lıu, Wenjing, Jiangtao Shı, ve Yunfeng Tıan. “A Note on the Solvability of a Finite Group in Which Every Non-Nilpotent Maximal Subgroup Is Normal”. International Electronic Journal of Algebra 34, sy. 34 (Temmuz 2023): 207-9. https://doi.org/10.24330/ieja.1252751.
EndNote Lıu W, Shı J, Tıan Y (01 Temmuz 2023) A note on the solvability of a finite group in which every non-nilpotent maximal subgroup is normal. International Electronic Journal of Algebra 34 34 207–209.
IEEE W. Lıu, J. Shı, ve Y. Tıan, “A note on the solvability of a finite group in which every non-nilpotent maximal subgroup is normal”, IEJA, c. 34, sy. 34, ss. 207–209, 2023, doi: 10.24330/ieja.1252751.
ISNAD Lıu, Wenjing vd. “A Note on the Solvability of a Finite Group in Which Every Non-Nilpotent Maximal Subgroup Is Normal”. International Electronic Journal of Algebra 34/34 (Temmuz 2023), 207-209. https://doi.org/10.24330/ieja.1252751.
JAMA Lıu W, Shı J, Tıan Y. A note on the solvability of a finite group in which every non-nilpotent maximal subgroup is normal. IEJA. 2023;34:207–209.
MLA Lıu, Wenjing vd. “A Note on the Solvability of a Finite Group in Which Every Non-Nilpotent Maximal Subgroup Is Normal”. International Electronic Journal of Algebra, c. 34, sy. 34, 2023, ss. 207-9, doi:10.24330/ieja.1252751.
Vancouver Lıu W, Shı J, Tıan Y. A note on the solvability of a finite group in which every non-nilpotent maximal subgroup is normal. IEJA. 2023;34(34):207-9.