REPRESENTATION OF AFFINE FINITE GEOMETRIES BY MEANS OF FINITE VECTOR SPACES

Abstract

Representation of finite geometries either by means of abelian finite groups or by means of marks of a Galois Field was developed by Robert D. Carmichael in the thirties. The emphasis was on projective finite geometries, while the Euclidean ones were mentioned very briefly and were considered as certain subsets of projective finite geometries. The concept of a vector space was not utilized by Carmichael.