Cameron-Liebler line classes in PG (3,q)
暂无分享,去创建一个
A Cameron-Liebler line class is a set L of lines in PG(3, q) for which there exists a number x such that |L⋂S|=x for all spreads S. There are many equivalent properties: Theorem 1 lists eight. This paper classifies Cameron-Liebler line classes with x⩽4 (with two exceptions). It is also shown that the study of Cameron-Liebler line classes is equivalent to the study of weighted sets of points in PG(3, q) with two weights on lines.
[1] Peter J. Cameron,et al. Tactical decompositions and orbits of projective groups , 1982 .