Original scientific paper

Finite linear spaces consisting of two symmetric configurations

Vedran Krčadinac
Juraj Šiftar

Abstract

We investigate finite linear spaces consisting of two symmetric configurations. A construction method using projective planes is presented, giving a possibly infinite number of examples. Other examples are constructed by difference families and automorphism groups, including a complete classification of the smallest case. A question whether any Steiner 2-design with twice as many lines as points belongs to this family of linear spaces is raised, and answered in the affirmative for all known examples of such designs.

Keywords

Finite linear space; symmetric configuration

Hrčak ID:

404

URI

https://hrcak.srce.hr/404

Publication date:

21.5.2005.

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