The non-existence of Cameron-Liebler line classes with parameter 2 < x <= q

作者:Metsch Klaus*
来源:Bulletin of the London Mathematical Society, 2010, 42: 991-996.
DOI:10.1112/blms/bdq057

摘要

In this paper it is proved that Cameron-Liebler line classes with parameter x do not exist when 2 < x <= q. We also give a geometrical-combinatorial proof of the equivalent properties that can be used to define Cameron-Liebler line classes. Finally, we use the same technique as in this proof to prove a result on partial m-covers of the classical parabolic generalized quadrangle.

  • 出版日期2010-12