Beitr\ EMIS ELibM Electronic Journals 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 $3$ configurations

Krzysztof Petelczyc

Institute of Mathematics, University of Bia{\l}ystok, ul. Akademicka 2, 15-267 Bia{\l}ystok, Poland

Abstract: 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

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Electronic version published on: 11 Mar 2005. This page was last modified: 4 May 2006.

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