Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 46, No. 1, pp. 283-300 (2005)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 46, No. 1, pp. 283-300 (2005) |
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Series of inscribed $n$-gons and rank $3$ configurationsKrzysztof PetelczycInstitute of Mathematics, University of Bia{\l}ystok, ul. Akademicka 2, 15-267 Bia{\l}ystok, PolandAbstract: In the paper we study configurations which can be represented as families of cyclically inscribed $n$-gons. The most regular of them arise from quasi difference sets distinguished in a product of two cyclic groups, but some other more general techniques which define series of inscribed $n$-gons are found and studied. We give conditions which assure the existence of certain automorphisms of the defined configurations. The automorphism groups of configurations arising from quasi difference sets is established. Keywords: configuration, partial linear space, difference set, quasi difference set, cyclic group, dihedral group Classification (MSC2000): 51D20, 51E26 Full text of the article:
Electronic version published on: 11 Mar 2005. This page was last modified: 4 May 2006.
© 2005 Heldermann Verlag
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