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Notes on 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

Group actions on small finite geometries have 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.