Skip to main content
SpringerLink
Log in

On finite groups with special Sylow p-subgroups

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

We find the cases in which a finite p-soluble group with a special Sylow p-subgroup has p-length 1.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Doerk K. and Hawkes T., Finite Soluble Groups, Walter de Gruyter, Berlin and New York (1992).

    MATH  Google Scholar 

  2. Golfand Yu. A., “On groups whose subgroups are special,” Dokl. Akad. Nauk SSSR, 60, No. 8, 1313–1315 (1948).

    MathSciNet  Google Scholar 

  3. Suzuki M., Group Theory. II, Springer-Verlag, New York, Berlin, Heidelberg, and Tokyo (1986).

    MATH  Google Scholar 

  4. Shemetkov L. A., Formations of Finite Groups [in Russian], Nauka, Moscow (1978).

    MATH  Google Scholar 

  5. Wenbin Guo, The Theory of Classes of Groups, Sci. Press / Kluwer Acad. Publ., Beijing, New York, Dordrecht, Boston, and London (2000).

    MATH  Google Scholar 

  6. Yi Xiaolan, “On finite minimal non-F-groups,” Izv. F. Scorina Gomel Univ., No. 6, 203–206 (2007).

  7. Ballester-Bolinches A., Esteban-Romero R., and Robinson Derek J. S., “On finite minimal non-nilpotent groups,” Proc Amer. Math. Soc., 133, No. 12, 3455–3462 (2005).

    Article  MATH  MathSciNet  Google Scholar 

  8. Mazurov V. D. and Syskin S. A., “On finite groups with special Sylow 2-subgroups,” Math. Notes, 14, No. 2, 683–686 (1973).

    MATH  Google Scholar 

  9. Monakhov V. S., “Product of finite groups close to nilpotent,” in: Finite Groups (Ed. L. A. Shemetkov) [in Russian], Nauka i Tekhnika, Minsk, 1975, pp. 70–100.

    Google Scholar 

  10. Zhurtov A. Kh. and Syskin S. A., “Schmidt’s groups,” Sibirsk. Mat. Zh., 28, No. 2, 74–78 (1987).

    MATH  MathSciNet  Google Scholar 

  11. Shemetkov L. A. and Yi Xiaolan., “On the p-length of finite p-soluble groups,” Tr. Inst. Mat. (Minsk, Belarus), 16, No. 1, 93–96 (2008).

    MathSciNet  Google Scholar 

  12. Baer R., “Supersoluble immersion,” Canad. J. Math., 11, No. 2, 353–369 (1959).

    MATH  MathSciNet  Google Scholar 

  13. Huppert B., Endliche Gruppen. I, Springer-Verlag, Berlin, Heidelberg, and New York (1967).

    MATH  Google Scholar 

  14. Kurzweil H. and Stellmacher B., The Theory of Finite Groups: An Introduction, Springer-Verlag, New York, Berlin, and Heidelberg (2004).

    MATH  Google Scholar 

  15. Hall M., The Theory of Groups, The Macmillan Comp., New York (1959).

    MATH  Google Scholar 

  16. Gorenstein D., Finite Groups, Harper and Row, New York, Evanston, and London (1968).

    MATH  Google Scholar 

  17. Ballester-Bolinches A., Calvo C., and Shemetkov L. A., “On partially saturated formations of finite groups,” Sb.: Math., 198, No. 6, 757–775 (2007).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Zhejiang University, Hangzhou, P. R. China

    X. Yi

Authors
  1. X. Yi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to X. Yi.

Additional information

Original Russian Text Copyright © 2010 Yi X.

__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 51, No. 3, pp. 547–552, May–June, 2010.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yi, X. On finite groups with special Sylow p-subgroups. Sib Math J 51, 435–438 (2010). https://doi.org/10.1007/s11202-010-0044-1

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11202-010-0044-1

Keywords

Search

Navigation