## Projective planes |

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### Contents

Preface | 1 |

DESARGUESIAN PLANES | 161 |

NONDESARGUESIAN PLANES | 267 |

Copyright | |

7 other sections not shown

### Common terms and phrases

Abelian group affine plane algebraic associated automorphism axis Cartesian group Cayley-Dickson algebra central collineation Chapter Clearly collinear points collineation groups concurrent lines Construction Corollary cross ratio cyclic plane defined Definition denoted Desargues configuration Desargues Theorem division ring easily checked elation Example Fano plane Figure finite planes following theorem follows from Theorem geometric harmonic homology Hom(p,L i r satisfies identity irreducible polynomial isomorphic isotopic Lemma linear ternary ring Little Desarguesian plane Moulton plane multiplication notation pairs Pappian plane Pappus configuration Pappus Theorem perfect difference set planar ring plane of order plane satisfying planes irF 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 satisfies the Second Second Desargues semifield Show Suppose transitive on four-points triangles triples tt satisfies