Projective Planes |
Contents
Classical Projective Planes | 20 |
Elementary Properties of Projective and Affine Planes | 76 |
Collineations | 90 |
Copyright | |
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3-incident a₁ abelian absolute points affine plane André automorphism autotopism axis B₁ Baer subplane centre Chapter Clearly collinear conic contains coordinatized Corollary D₂ define derivation set desarguesian plane distinct points distributive law division ring plane e₁ E₂ elation elements of F equation Exercise field finite field finite projective plane fixed free closures free equivalent free extension GF q given gives Hall plane Hence homology homomorphism implies incident induces intersection isomorphic k)-transitivity k₁ k₂ kernel latin squares Lemma line joining linear linear transformation mapping matrix multiplication non-desarguesian orbit orthogonal P₁ P₂ permutation group planar ternary ring plane of order points and lines polarity projective geometry Proof prove quasifield satisfies semi-linear transformation Singer group skewfield subgroup Suppose ternary ring Theorem transitive translation plane unique solution vector space x₁