An Elliptic Semiplane
暂无分享,去创建一个
Abstract An elliptic semiplane (symmetric group divisible design with λ 1 = 1 and λ 2 = 0) is constructed. This elliptic semiplane cannot be realized as a projective plane minus a Baer subset, and is the first elliptic semiplane constructed which has this property.
[1] W. S. Connor,et al. Combinatorial Properties of Group Divisible Incomplete Block Designs , 1952 .
[2] H. J. Ryser. Variants of cyclic difference sets , 1973 .
[3] Arno Cronheim. $T$-groups and their geometry , 1965 .
[4] Heinz Lüneburg,et al. Charakterisierungen der endlichen desarguesschen projektiven Ebenen , 1964 .
[5] H.J Ryser,et al. Subsets of a Finite Set That Intersect Each Other in At Most One Element , 1974, J. Comb. Theory, Ser. A.