Construction Problems in Finite Projective Spaces

The present paper represents a complete reworking of eight lectures given in Bressanone, Italy in the summer of 1972. The spirit of the lectures has been preserved (or so I hope) and also the order of the material. However, a few topics are treated more carefully here than seemed desirable in the lectures, and a few results have been added that were unknown in the summer of 1972. The latter – at least insofar as they were not due to me – should be easy to identify in the paper.