Dual deficiency one transitive partial parallelisms


It is shown that every transitive deficiency one finite partial parallelism in PG(3, q) with standard group uniquely extends to a parallelism that is never isomorphic to its dual parallelism.The 'derived' parallelisms of standard parallelisms are also shown to be non-isomorphic to their duals.

DOI Code: 10.1285/i15900932v23n1p15

Keywords: Dual parallelisms; Deficiency one; Transitive

Classification: 51E23; 51A40

Full Text: PDF

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