Abstract
In this note we prove two theorems which contribute towards the classification of line-transitive designs. A special class of such designs are the projective planes and it is this problem which the paper addresses. There two main results:-
Theorem A: Let act line-transitively on a projective plane and let be a minimal normal subgroup of . Then is either abelian or simple or the order of the plane is or .
Theorem B: Let be a classical simple group which acts line-transitively on a projective plane. Then the rank of is bounded.
Citation
Alan R. Camina. "Projective planes with a transitive automorphism group." Innov. Incidence Geom. 1 191 - 196, 2005. https://doi.org/10.2140/iig.2005.1.191
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