Dual deficiency one transitive partial parallelisms
Abstract
It is shown that every transitive deficiency one finite partial parallelism in
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.
![PG(3, q)](http://siba-ese.unile.it/plugins/generic/latexRender/cache/1add5ad7b685b969d52497e4c5b805ed.png)
DOI Code:
10.1285/i15900932v23n1p15
Keywords:
Dual parallelisms; Deficiency one; Transitive
Classification:
51E23; 51A40
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