A characterization of projective geometries
Bull. Korean Math. Soc. 1995 Vol. 32, No. 2, 215-219
Young Jin Yoon
Kunsan National University
Abstract : It is known that a projective geometry $PG(n-1,q)$ is upper homogeneous, has a modular copoint, and its characteristic polynomial is $(\lambda - 1)(\lambda - q)(\lambda - q^2) \dots (\lambda - q^{n-1})$. We prove the converse of the above statement.
Keywords : characteristic polynomial, upper homogeneous, modular copoint
MSC numbers : 05B35
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