Skip to main content
SpringerLink
Log in

Characterisations of A p+2 and L 2(2q)

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

Abstract

Let G be a transitive group of degree p+2 with p|G| where p ≧ 5 is a prime number, then (i) G is isomorphic to S p+2 or A p+2, if G has an element of order 4, (ii) G is isomorphic to L 2(2q) or P Γ L 2 (2q), if 2q − 1=p is a Mersenne prime and G has no element of order 4.

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. Burnside, Theory of groups of finite order. New York 1955.

  2. D. G. Higman, Finite permutation groups of rank 3. Math. Z. 86, 145–156 (1964).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, National University of Singapore, 119260, Singapore, Republic of Singapore

    Mong-Lung Lang

Authors
  1. Mong-Lung Lang
    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

Lang, ML. Characterisations of A p+2 and L 2(2q). Arch. Math. 68, 367–370 (1997). https://doi.org/10.1007/s000130050069

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000130050069

Mathematics Subject Classification (1991)

Search

Navigation