%0 Journal Article %T Defining equations of subspace arrangements embedded in reflection arrangements %A Jessica Sidman %J Mathematics %D 2003 %I arXiv %R 10.1155/S1073792804132157 %X We give explicit generators for ideals of two classes of subspace arrangements embedded in certain reflection arrangements, generalizing results of Li-Li and Kleitman-Lovasz. We also give minimal generators for the ideals of arrangements that arise in a natural way from the p-skeleton of an n-dimensional cube and discuss conditions under which the generators that we give form a Groebner basis. %U http://arxiv.org/abs/math/0307280v2