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Pseudocyclic association schemes arising from the actions of PGL(2,2m) and PΓL(2,2m) by Henk D.L. Hollmann; Qing Xiang is a Mathematics article available to read on EtoBox.

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The action of PGL(2, 2 m ) on the set of exterior lines to a nonsingular conic in PG(2, 2 m ) affords an association scheme, which was shown to be pseudocyclic in [H.D.L. Hollmann, Association schemes, Master thesis, Eindhoven University of Technology, 1982]. It was further conjectured in [H.D.L. Hollmann, Association schemes, Master thesis, Eindhoven University of Technology, 1982] that the orbital scheme of P L(2, 2 m ) on the set of exterior lines to a nonsingular conic in PG(2, 2 m ) is also pseudocyclic if m is an odd prime. We confirm this conjecture in this paper. As a by-product, we obtain a class of Latin square type strongly regular graphs on nonprime-power number of points.

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Author

Henk D.L. Hollmann; Qing Xiang

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0097-3165)

Published

2006

Language

EN

Field

Mathematics (Physical Sciences)