Archiv der Mathematik

, Volume 68, Issue 5, pp 367–370 | Cite as

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

  • Mong-Lung Lang


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(2 q ) or P Γ L 2 (2 q ), if 2 q − 1=p is a Mersenne prime and G has no element of order 4.

Mathematics Subject Classification (1991)

20B20 Secondary 20D06 


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  1. [1]
    W. Burnside, Theory of groups of finite order. New York 1955.Google Scholar
  2. [2]
    D. G. Higman, Finite permutation groups of rank 3. Math. Z. 86, 145–156 (1964).MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Birkhäuser Verlag 1997

Authors and Affiliations

  • Mong-Lung Lang
    • 1
  1. 1.Department of MathematicsNational University of SingaporeSingaporeRepublic of Singapore

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