Translation planes admitting a linear Abelian group of order (q+1)^2.


Translation planes of order q^2 and spread in PG(3,q), where q is an odd prime power and q^2-1 has a p-primitive divisor, that admit a linear Abelian group of order (q+1)^2 containing at most three kernel homologies are shown to be associated to flocks of quadratic cones.

DOI Code: 10.1285/i15900932v29n1supplp59

Translation plane; flock of quadratic cone; homologies

Full Text: PDF

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