Skip to main content
SpringerLink
Log in

On Some CAP-Subgroups of Finite Groups

  • Original Paper
  • Published:
Bulletin of the Iranian Mathematical Society Aims and scope Submit manuscript

Abstract

In this paper, we research on two kinds of cover-avoiding subgroups of a finite group and get some results on p-supersolvable and p-nilpotent properties of a group G.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Berkovich, Y., Isaacs, I.M.: \(p\)-supersolvability and actions on \(p\)-groups stablizing certain subgroups. J. Algebra 414, 82–94 (2014)

    Article  MathSciNet  Google Scholar 

  2. Guo, Y., Isaacs, I.M.: Conditions on p-subgroups implying p-nilpotence or p-supersolvability. Arch. Math. 105, 215–222 (2015)

    Article  MathSciNet  Google Scholar 

  3. Balleater-Bolinches, A., Ezquerro, L.M., Li, Y., Su, N.: On partial CAP-subgroups of finite groups. J. Algebra 431, 196–208 (2015)

  4. Li, S., Liu, J.: A generalization of cover-avoiding properties in finite groups. Comm. Algebra 39(4), 1455–1464 (2011)

    Article  MathSciNet  Google Scholar 

  5. Ballester Bolinches, A., Ezquerro, L.M., Skiba, A.N.: Local embeddings of some families of subgroups of finite groups, Acta Math. Sin. (Engl. Ser.) 25, 869-882 (2009)

  6. Ballester Bolinches, A., Esteban Romero, R.: On minimal non-supersolubility groups. Rev. Mat. Iberoamericana 23(1), 127–142 (2007)

    Article  MathSciNet  Google Scholar 

  7. A. Ballester Bolinches, R. Esteban Romero and Y. Li, A question on partial CAP-subgroups of finite groups, Sci. China Math., 55(5)(2012), 961-966

  8. Qian, G., Zeng, Y.: On partial cap-subgroups of finite groups. J. Algebra 546, 553–565 (2020)

    Article  MathSciNet  Google Scholar 

  9. Skiba, A.N.: On weakly \(s\)-permutable subgroups of finite groups. J. Algebra 315, 192–209 (2007)

    Article  MathSciNet  Google Scholar 

  10. Li, Y., Huang, Y.: Finite groups with some generalized CAP-subgroup. Bull. Malays. Math. Sci. Soc. 39, 1413–1420 (2016)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

The authors are grateful to the referee for his/her valuable suggestions.

Author information

Authors and Affiliations

  1. School of Mathematical Science, Soochow University, Suzhou, 215006, Jiangsu, People’s Republic of China

    Xinwei Wu & Xianhua Li

Authors
  1. Xinwei Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xianhua Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xianhua Li.

Additional information

Communicated by Hamid Mousavi.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This work was supported by the National Natural Science Foundation of China (Grant N. 11871360).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wu, X., Li, X. On Some CAP-Subgroups of Finite Groups. Bull. Iran. Math. Soc. 48, 1711–1720 (2022). https://doi.org/10.1007/s41980-021-00611-w

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s41980-021-00611-w

Keywords

Mathematics Subject Classification

Search

Navigation