Skip to main content
Log in

Finite Groups with 30 Elements of Maximal Order

  • Published:
Applied Categorical Structures Aims and scope Submit manuscript

Abstract

It is an interesting topic to determine the structure of a finite group which has a given number of elements of maximal order. In this article, the author classified finite groups with 30 elements of maximal order.

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.

Similar content being viewed by others

References

  1. Cheng, Y.: Finite groups based on the numbers of elements of maximal order (in Chinese). Chinese Ann. Math. Ser. A 14(5), 561–567 (1993)

    MATH  MathSciNet  Google Scholar 

  2. Youyi, J.: Finite groups with the number not exceeding 19 of elements of maximal order are solvable (in Chinese). J. Southwest China Normal Univ. (Natural Science Edition) 23(4), 379–384 (1998)

    Google Scholar 

  3. Youyi, J.: Finite groups with 2p 2 elements of maximal order are solvable (in Chinese). Chin. Ann. Math., A 21(1), 61–64 (2000)

    MATH  Google Scholar 

  4. He, C.: Finite groups with 2m (\((m,\ 30)=1\)) elements of maximal order. J. Southwest China Normal Univ. (Natural Science Edition) 29(3), 351–353 (2004)

    Google Scholar 

  5. Williams, J.S.: Prime graph components of finite groups. J. Algebra 69, 487–513 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  6. Kondratev, A.S.: Prime graph components of finite simple groups. Math. USSR Sbornik. 67(1), 235–247 (1990)

    Article  Google Scholar 

  7. Chen, G.Y.: On Frobenius groups and 2-Frobenius groups. J. Southwest China Normal Univ. (Natural Science Edition) 20(5), 485–487 (1995)

    Google Scholar 

  8. Chen, G.Y.: A new characterization of sporadic simple groups. Algebra Colloq. 3(1), 49–58 (1996)

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wujie Shi.

Additional information

This work is supported by NSFC (No. 10571128), NSF of CHONGQING (CSTC: 2005BB8096).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, G., Shi, W. Finite Groups with 30 Elements of Maximal Order. Appl Categor Struct 16, 239–247 (2008). https://doi.org/10.1007/s10485-007-9067-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10485-007-9067-6

Keywords

Mathematics Subject Classifications (2000)

Navigation