120
Views
0
CrossRef citations to date
0
Altmetric
Articles

On weakly -supplemented subgroups of finite groups

, &
Pages 4021-4027 | Received 23 Feb 2019, Accepted 26 Mar 2021, Published online: 27 Apr 2021

References

  • Ballester-Bolinches, A., Esteban-Romero, R., Qiao, S. H. (2016). A note on a result of Guo and Isaacs about p-supersolubility of finite groups. Arch. Math. 106(6):501–506. DOI: 10.1007/s00013-016-0901-7.
  • Doerk, K., Hawkes, T. (1992). Finite Soluble Groups. Berlin/New York: de Gruyter.
  • Guo, W. (2000). The Theory of Classes of Groups. Beijing-New York-Dordrecht-Boston-London: Science Press-Kluwer Academic Publishers.
  • Guo, Y., Isaacs, I. M. (2015). Conditions on p-subgroups implying p-nilpotence or p-supersolvability. Arch. Math. 105(3):215–222. DOI: 10.1007/s00013-015-0803-0.
  • Isaacs, I. M. (2008). Finite Group Theory. Providence Amer. Math. Soc.
  • Miao, L., Lempken, W. (2009). On M-supplemented subgroups of finite groups. J. Group Theory 12(2):271–287.
  • Miao, L., Lempken, W. (2010). On weakly M-supplemented primary subgroups of finite groups. Turkish J. Math. 34(4):489–500.
  • Miao, L. (2011). On weakly M-supplemented subgroups of Sylow p-subgroups of finite groups. Glasgow Math. J. 53:401–410.
  • Miao, L., Tang, J. (2017). A new condition for solvable groups. J. Pure Appl. Algebra 221(10):2504–2510. DOI: 10.1016/j.jpaa.2016.12.035.
  • Miao, L., Zhang, J. (2018). On a class of non-solvable groups. J. Algebra 496:1–10. DOI: 10.1016/j.jalgebra.2017.10.016.
  • Monakhov, V. S., Kniahina, V. N. (2015). Finite groups with complemented subgroups of prime orders. J. Group Theory 18:905–912.
  • Tate, J. (1964). Nilpotent quotient groups. Topology 3(3):109–111. DOI: 10.1016/0040-9383(64)90008-4.
  • Vdovin, E. P., Revin, D. O. (2011). Theorems of Sylow type. Russ. Math. Surv. 66(5):829–870. DOI: 10.1070/RM2011v066n05ABEH004762.
  • Zhang, J., Qiu, T., Miao, L., Tang, J. (2019). Notes on solvability and p-supersolvability of finite groups. Algebra Colloq. 26(01):139–146. DOI: 10.1142/S1005386719000130.
  • Zhu, Z. (2016). Weakly M-supplemented subgroups with given order and the structure of finite groups (in chinese). Master’s thesis. Yangzhou University, Yangzhou.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.