Pentagon property in parapolar spaces II

Abstract EN

In this thesis we prove or disprove that the “pentagon property holds in an important class of geometries* that are the subject of two theorems of Cohen and Cooperstein, by proving that the pentagon property is necessary to some other properties in different geometries.

We also apply these results to certain families of spaces.

In particular, we apply the above result to the class of Lie incidence geometries: De^F), A5(3(D), F4)i(F), E^F) for some field F and division ring D.