Dual deficiency one transitive partial parallelisms


Abstract


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

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