Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2018, , 42 - 46, 11.01.2018
https://doi.org/10.24330/ieja.373640

Öz

Kaynakça

  • S. Li, Z. Shen and N. Du, Finite groups with few TI-subgroups, Comm. Algebra, 43(7) (2015), 2680-2689.
  • H. Mousavi, T. Rastgoo and V. Zenkov, The structure of non-nilpotent CTI- groups, J. Group Theory, 16(2) (2013), 249-261.
  • D. J. S. Robinson, A Course in the Theory of Groups, Second Edition, Grad- uate Texts in Mathematics, 80, Springer-Verlag, New York, 1996.
  • J. Shi and C. Zhang, Finite groups in which some particular subgroups are TI-subgroups, Miskolc Math. Notes, 14(3) (2013), 1037-1040.

A note on finite groups with few TI-subgroups

Yıl 2018, , 42 - 46, 11.01.2018
https://doi.org/10.24330/ieja.373640

Öz

In [Comm. Algebra, 43(2015), 2680-2689], nite groups all of
whose metacyclic subgroups are TI-subgroups have been classi ed by S. Li,
Z. Shen and N. Du. In this note we investigate a nite group all of whose
non-metacyclic subgroups are TI-subgroups. We prove that G is a group all
of whose non-metacyclic subgroups are TI-subgroups if and only if all non-
metacyclic subgroups of G are normal. Furthermore, we show that a group all
of whose non-cyclic subgroups are TI-subgroups has a Sylow tower.

Kaynakça

  • S. Li, Z. Shen and N. Du, Finite groups with few TI-subgroups, Comm. Algebra, 43(7) (2015), 2680-2689.
  • H. Mousavi, T. Rastgoo and V. Zenkov, The structure of non-nilpotent CTI- groups, J. Group Theory, 16(2) (2013), 249-261.
  • D. J. S. Robinson, A Course in the Theory of Groups, Second Edition, Grad- uate Texts in Mathematics, 80, Springer-Verlag, New York, 1996.
  • J. Shi and C. Zhang, Finite groups in which some particular subgroups are TI-subgroups, Miskolc Math. Notes, 14(3) (2013), 1037-1040.
Toplam 4 adet kaynakça vardır.

Ayrıntılar

Bölüm Makaleler
Yazarlar

Jiangtao Shi Bu kişi benim

Jingjing Huang Bu kişi benim

Cui Zhang Bu kişi benim

Yayımlanma Tarihi 11 Ocak 2018
Yayımlandığı Sayı Yıl 2018

Kaynak Göster

APA Shi, J., Huang, J., & Zhang, C. (2018). A note on finite groups with few TI-subgroups. International Electronic Journal of Algebra, 23(23), 42-46. https://doi.org/10.24330/ieja.373640
AMA Shi J, Huang J, Zhang C. A note on finite groups with few TI-subgroups. IEJA. Ocak 2018;23(23):42-46. doi:10.24330/ieja.373640
Chicago Shi, Jiangtao, Jingjing Huang, ve Cui Zhang. “A Note on Finite Groups With Few TI-Subgroups”. International Electronic Journal of Algebra 23, sy. 23 (Ocak 2018): 42-46. https://doi.org/10.24330/ieja.373640.
EndNote Shi J, Huang J, Zhang C (01 Ocak 2018) A note on finite groups with few TI-subgroups. International Electronic Journal of Algebra 23 23 42–46.
IEEE J. Shi, J. Huang, ve C. Zhang, “A note on finite groups with few TI-subgroups”, IEJA, c. 23, sy. 23, ss. 42–46, 2018, doi: 10.24330/ieja.373640.
ISNAD Shi, Jiangtao vd. “A Note on Finite Groups With Few TI-Subgroups”. International Electronic Journal of Algebra 23/23 (Ocak 2018), 42-46. https://doi.org/10.24330/ieja.373640.
JAMA Shi J, Huang J, Zhang C. A note on finite groups with few TI-subgroups. IEJA. 2018;23:42–46.
MLA Shi, Jiangtao vd. “A Note on Finite Groups With Few TI-Subgroups”. International Electronic Journal of Algebra, c. 23, sy. 23, 2018, ss. 42-46, doi:10.24330/ieja.373640.
Vancouver Shi J, Huang J, Zhang C. A note on finite groups with few TI-subgroups. IEJA. 2018;23(23):42-6.