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The Diamond Theorem in Finite Geometry

by Steven H. Cullinane

MSC 2000

20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures
51E20 Combinatorial structures in finite projective spaces

Abstract

Finite projective geometry explains the surprising symmetry properties of some simple graphic designs-- found, for instance, in quilts. There are applications to sporadic simple groups (via the "Miracle Octad Generator" of R. T. Curtis), to the connection between orthogonal Latin squares and projective spreads, and to symmetry of Walsh functions.


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