Reflection spaces and corresponding kinematic structures (Q1936949)

A reflection space is a pair \((P,\Gamma)\), where \(\Gamma\) is a group and \(P\) is a non-empty set of involutions in \(\Gamma\) that generates \(\Gamma\), satisfying a number of conditions, e.g. the three reflection axiom. These conditions give the pair \((P,\Gamma)\) a geometric structure. The authors of this paper investigate properties of this geometric structure. In particular they look at the collineation group of a reflection space, at reducible reflection spaces and their kinematic spaces, and at the kinematic structure of a reflection space.