Glasnik Matematicki, Vol. 41, No.1 (2006), 115-140.

CONFIGURATIONS DEFINED ON FINITE RINGS

Andrzej Kozlowski and Krzysztof Prazmowski

Institute of Mathematics, University of Bialystok, 15 267 Bialystok, Poland
e-mail: andrzej.k80@wp.pl e-mail: krzypraz@math.uwb.edu.pl


Abstract.   Some configurations defined as structures of orbits under families of linear maps of cyclic rings are introduced and studied. All the admissible families which yield a connected configuration with small lines (of size 3 or 4) over the ring Zpn with prime p are found and characterized. The automorphisms of rank 3 configurations of this type are determined.

2000 Mathematics Subject Classification.   51E14, 51E26.

Key words and phrases.   Cyclic ring, (quasi) difference set, partial linear space, hank of polygons.


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DOI: 10.3336/gm.41.1.11


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