Combinatorics MOC

Steiner system

An Steiner system is a set of points, together with a set of -element subsets , called blocks or -ads, such that any set of points is contained in exactly one -ad. #m/def/comb Excluding trivial systems, .

• A finite projective plane of order is an . In particular the Fano plane is the unique Steiner system.

Special Steiner systems

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