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J. Ryser, The nonexistence of certainfinite projective planes, Canadian J. ,'vol 1 (1949), 88-93. 8. H. P. , vol. 69 (1958) , 58-89. 9. A. M. Gleason, Finite Fano planes, Amer. J. , vol 78 (1956), 797- 807. 10. , Projective planes, Trans. Amer. Math. t vol. 54 (1943), 229-277. 11. , Cyclic projective planes, Duke Math. , vol. 14 (1947), t2. , Projective planes and related topics, CalU. Inst. , 1079- 1090. 19 54. 13. D. R. Hughes, A class of non-Desarguesian projective planes, Canadian J. , vol.

Vol. 62 ?. R. H. Bruck and H. J. Ryser, The nonexistence of certainfinite projective planes, Canadian J. ,'vol 1 (1949), 88-93. 8. H. P. , vol. 69 (1958) , 58-89. 9. A. M. Gleason, Finite Fano planes, Amer. J. , vol 78 (1956), 797- 807. 10. , Projective planes, Trans. Amer. Math. t vol. 54 (1943), 229-277. 11. , Cyclic projective planes, Duke Math. , vol. 14 (1947), t2. , Projective planes and related topics, CalU. Inst. , 1079- 1090. 19 54. 13. D. R. Hughes, A class of non-Desarguesian projective planes, Canadian J.

Planes with transitive collineation groups have been studied for some time. 25 Subsequent *o"k11 has indicated that probably only Desar- guesian planes have this property. ) Indeed, if r has a transitive collineation group, then o is probably Desarguesian. 20,21 V the finite projective plane group G which is doubly transiiive on points, then G contains all the elations of r Ostrom and z has a collineation . is Desarguesian, and . 6 r Jo uorl€aurlloc (,{111uapg-uou) e sr g pu€ 0I rapro ;o aueld € sr !

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