Skip to main content
Log in

On the multiplier of a group with nontrivial center

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

This paper is a sequel of [1]. On the basis of the results obtained therein, we establish inequalities that strengthen the known Green inequality for the order of the Schur multiplier of ap-group.

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

Access this article

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

Instant access to the full article PDF.

References

  1. É. M. Zhmud', “On kernels of projective representations of finite groups,”Teor. Funkts., Funkts. Anal. Prilozhen., Issue 55, 34–49 (1991).

    Google Scholar 

  2. J. A. Green, “On the number of automorphisms of a finite group,”Proc. Roy. Soc. A.,237, 574–581 (1956).

    Google Scholar 

  3. É. M. Zhmud', “On isomorphic irreducible projective representations of finite groups,”Zap. Mat. Otd. Fiz.-Mat. Fakult. KhGU Khark. Mat. Obshch., Ser. 4,26, 333–372 (1960).

    Google Scholar 

  4. R. Frucht, “Darstellungen Abelschen Gruppen durch Kollineationen,”J. Math.,166, 16–29 (1931).

    Google Scholar 

  5. B. Huppert,Endliche Gruppen, Berlin (1979).

  6. W. Gaschütz, J. Neubüser, and Yen Ti, “:Uber den Multiplicator vonp-Gruppen,”Math. Z.,100, 93–96 (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 546–550, April, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhmud', É.M. On the multiplier of a group with nontrivial center. Ukr Math J 47, 634–639 (1995). https://doi.org/10.1007/BF01056051

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056051

Keywords

Navigation