Projective Planes |
Contents
Preface | 1 |
DESARGUESIAN PLANES | 161 |
NONDESARGUESIAN PLANES | 267 |
Copyright | |
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Common terms and phrases
affine plane algebraic arbitrary automorphism axis Cartesian group Cayley-Dickson algebra central collineation Chapter Clearly collinear points collineation f collineation groups concurrent lines Construction Corollary cyclic plane DEFINITION denoted Desargues configuration Desargues Theorem Desarguesian plane division ring easily checked elation Example exercise Fano plane Figure finite planes following theorem follows from Theorem geometric GF(p harmonic homology Hom(p,L identity irreducible polynomial isomorphic isotopic L₁ L₂ Lemma Let f linear ternary ring Moulton plane multiplication notation P₁ pairs Pappian plane Pappus configuration Pappus Theorem perfect difference set planar ring plane of order plane satisfying points and lines pointwise primitive plane projective geometry projective plane proof is left proof of Theorem Prove Theorem real numbers right planar nearfield right quasifield satisfies Fano's Axiom satisfies the Desargues satisfies the Pappus semifield Show Suppose transitive on four-points triangles triples