2-transitive Symmetric Designs |
Contents
Background and Freliminary Results | 7 |
Designs | 13 |
Automorphism Groups of Designs | 17 |
Copyright | |
7 other sections not shown
Common terms and phrases
2-homogeneous 2-transitive automorphism group 2-transitive collineation group 2-transitive symmetric designs abelian group abelian subgroup acts faithfully admits a 2-transitive affine space automor block-orbits blocks on q Burnside's theorem complementary design contains the little contradiction Corollary 8.2 D₁ Dembowski design of points difference set design distinct blocks distinct points finite projective space fixed points fixes a point fixing a block flag-transitive following result four points Frobenius group Froof group of degree Hadamard design hyperplanes implies incidence structure intransitive subgroup isomorphic Lemma 3.5ii little projective group minimal normal subgroup non-trivial number of points orbit of length ordered pairs parameters permutation group phism group point-orbits points and blocks points of CB pointwise polarity prime power primitive projective plane proof of Theorem Proposition proves remaining blocks resp sharply transitive sitive Sylow 2-subgroup symmetric design admitting system of imprimitivity Theorem 3.1 transitive and regular transitive on CB usual representation