Variations on a theme of Cofman


Abstract


En
The paper provides a survey on the known results on the collineation groups acting on a line of a projective plane with some transitivity properties. As a new result, it is shown that a group which is faithful and primitive of rank 3 on a line of a projective plane is 1-dimensional semilinear.

DOI Code: 10.1285/i15900932v29n1supplp11

Keywords:
Projective plane; collineation group; orbit

Full Text: PDF


Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.