On the subplanes of the Hughes planes of odd square prime order

TitleOn the subplanes of the Hughes planes of odd square prime order
Publication TypeJournal Article
Year of Publication2000
AuthorsRousseva A
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume92
IssueLivre 1 - Mathématiques et Mecanique
Pagination65-72
ISSN0205-0808
KeywordsBaer subplanes, finite geometries, Hughes planes
Abstract

In this paper we give a construction of a family of Baer subplanes of the Hughes plane $\textbf{H}$ of odd square prime order $q^2, q \geq 5$, which are not isomorphic to its well-known desarguesian Baer subplane $\textbf{H}_0 [1, 5.4]$.

1991/95 MSC

51E15

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