A property of the groups $P\Gamma L(m, q)$, $q\geq 5$
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- by Peter Lorimer PDF
- Proc. Amer. Math. Soc. 37 (1973), 393-396 Request permission
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 $P\Gamma L(m,q),m \geqq 2$, is doubly transitive and it is proved here that this permutation group does not contain a sharply doubly transitive subset when $q \geqq 5$.References
- B. Huppert, Endliche Gruppen. I, Die Grundlehren der mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967 (German). MR 0224703
Additional Information
- © Copyright 1973 American Mathematical Society
- 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