Characterisations of Ap+2 and L2(2q)

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 Sp+2 or Ap+2, if G has an element of order 4, (ii) G is isomorphic to L2(2q) or P Γ L2 (2q), if 2q − 1=p is a Mersenne prime and G has no element of order 4.

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Bibliographic Details
Published in:Archiv der Mathematik 1997-05, Vol.68 (5), p.367-370
Main Author: Lang Mong-Lung
Format: Article
Language:English
Subjects:
Prime numbers
Online Access:Get full text
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Summary: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 Sp+2 or Ap+2, if G has an element of order 4, (ii) G is isomorphic to L2(2q) or P Γ L2 (2q), if 2q − 1=p is a Mersenne prime and G has no element of order 4.
ISSN:0003-889X
1420-8938
DOI:10.1007/s000130050069