Skip to main content
Log in

On Constructive Recognition of Finite Simple Groups by Element Orders

Algebra and Logic Aims and scope

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

Access this article

Price includes VAT (Canada)

Instant access to the full article PDF.

Institutional subscriptions

References

  1. V. D. Mazurov, “Recognition of finite groups by a set of orders of their elements,” Algebra and Logic, 37, No. 6, 371-379 (1998).

    Article  MathSciNet  Google Scholar 

  2. V. D. Mazurov, “Groups with prescribed spectrum,” Izv. Ural. Gos. Univ., Mat. Mekh., Issue 7, No. 36, 119-138 (2005).

  3. M. A. Grechkoseeva and A. V. Vasil’ev, “On the structure of finite groups isospectral to finite simple groups,” (2014), arXiv:1409.8086.

  4. A. A. Buturlakin, “Isospectral finite simple groups,” Sib. El. Mat. Izv., 7, 111-114 (2010).

    MathSciNet  Google Scholar 

  5. A. V. Vasil’ev and E. P. Vdovin, “An adjacency criterion for the prime graph of a finite simple group,” Algebra and Logic, 44, No. 6, 381-406 (2005).

    Article  MathSciNet  Google Scholar 

  6. A. A. Buturlakin, “Spectra of finite linear and unitary groups,” Algebra and Logic, 47, No. 2, 91-99 (2008).

    Article  MathSciNet  Google Scholar 

  7. A. A. Buturlakin, “Spectra of finite symplectic and orthogonal groups,” Sib. Adv. Math., 21, No. 3, 176-210 (2011).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Buturlakin.

Additional information

The work is supported by Russian Science Foundation (project 14-21-00065).

Translated from Algebra i Logika, Vol. 53, No. 4, pp. 541-544, July-August, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Buturlakin, A.A., Vasil’ev, A.V. On Constructive Recognition of Finite Simple Groups by Element Orders. Algebra Logic 53, 349–351 (2014). https://doi.org/10.1007/s10469-014-9294-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10469-014-9294-5

Keywords

Navigation