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


Abstract


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

Keywords:
Translation plane; flock of quadratic cone; homologies

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