engleski

Orbit matrices for TSC spaces

TSC spaces are finite linear spaces consisting of two symmetric configurations. In this talk the well-konwn construction method for block designs with a prescribed automorphism group is adapted to TSC spaces. A suitable definition of orbit matrices is given and various approaches to their classification are compared on a number of examples. It is proved that up to isomorphism there are exactly 12 TSC(4, 5) spaces with an automorphism of order 3 acting without fixed points and lines.

finite linear space; symmetric configuration; automorphism

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