A property of the groups ,
Author:
Peter Lorimer
Journal:
Proc. Amer. Math. Soc. 37 (1973), 393-396
MSC:
Primary 20H15; Secondary 20B20, 50A15
DOI:
https://doi.org/10.1090/S0002-9939-1973-0313415-0
MathSciNet review:
0313415
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Abstract: It is well known that the existence of a sharply doubly transitive set of permutations is equivalent to the existence of a projective plane. The natural representation of the group , is doubly transitive and it is proved here that this permutation group does not contain a sharply doubly transitive subset when
.
- [1] B. Huppert, Endliche Gruppen. I, Die Grundlehren der math. Wissenschaften, Band 134, Springer-Verlag, Berlin and New York, 1967. MR 37 #302. MR 0224703 (37:302)
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DOI:
https://doi.org/10.1090/S0002-9939-1973-0313415-0
Article copyright:
© Copyright 1973
American Mathematical Society