The incidence structure of subspaces with well-scaled frames

@article{Lee1990TheIS,
  title={The incidence structure of subspaces with well-scaled frames},
  author={Jon Lee},
  journal={J. Comb. Theory, Ser. B},
  year={1990},
  volume={50},
  pages={265-287}
}
In this paper, the incidence structure of classes of subspaces that generalize the regular (unimodular) subspaces of rational coordinate spaces is studied. Let F be a field and SE F\ (0). A subspace, V, of a coordinate space over F is S-regular if every elementary vector of V can be scaled by an element of F\ (0) so that all of its non-zero entries are elements of S. A subspace that is { 1, fl j-regular over the rational field is regular. Associated with a subspace, V, over an arbitrary… CONTINUE READING