Glasnik matematički, Vol. 40 No. 1, 2005.
Izvorni znanstveni članak
Finite linear spaces consisting of two symmetric configurations
Vedran Krčadinac
Juraj Šiftar
Sažetak
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.
Ključne riječi
Finite linear space; symmetric configuration
Hrčak ID:
404
URI
Datum izdavanja:
21.5.2005.
Posjeta: 1.178 *