Skip to main content
SpringerLink
Log in

Finite Groups with Nonmonomial Characters of Prime Degree

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

It is proved that every finite group for which the degrees of its nonmonomial characters are primes is solvable. The proof uses the classification of the finite simple groups.

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. W. Feit, Characters of Finite Groups, W. A. Benjamin, Inc., New York–Amsterdam, 1967.

    Google Scholar 

  2. B. Huppert, Endliche Gruppen I, Springer-Verlag, Berlin, 1967.

    Google Scholar 

  3. I. A. Chubarov, Relations of the Properties of a Group to the Monomiality of Its Characters, Mosk. Fiz.-Tekh. Inst. (Manuscript deposited at VINITI on June 13, 1980; deposition no. 2365–80).

  4. V. A. Belonogov, Representations and Characters in the Theory of Finite Groups, Sverdlovsk, 1990.

  5. R. Steinberg, Lectures on Chevalley Groups, Yale University, New Haven, Conn., 1968.

    Google Scholar 

  6. L. S. Kazarin, “On the product of finite groups, ” Dokl. Akad. Nauk SSSR [Soviet Math. Dokl.], 269 (1983), no. 3, 528–531.

    Google Scholar 

  7. J. H. Conway, R. T. Curtis, S. P. Norton, and R. A. Parker, and R. A. Wilson, Atlas of Finite Groups, Clarendon Press, London, 1985.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. P. G. Demidov Yaroslavl State University, Russia

    I. A. Sagirov

Authors
  1. I. A. Sagirov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sagirov, I.A. Finite Groups with Nonmonomial Characters of Prime Degree. Mathematical Notes 74, 671–675 (2003). https://doi.org/10.1023/B:MATN.0000008999.85474.f9

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:MATN.0000008999.85474.f9

Search

Navigation