A Class Of Supersolvable Arrangements With Rank 3

This paper gives specific isomorphisme centre arrangements of hyperplanes intersection poset with the corresponding sequence on the simple elements to be flat lattice array of elements in the same isomorphisme mapping, and the isomorph for modular elements, and the link between the rank function.In addition, this paper, the conclusions of the flat lattice in the matroids has been extended to the conclusions of the centre arrangements of hyperplanes intersection poset, are how to find rank 3 arrangements of hyperplanes intersection poset on rank-sequence mode for 2 modular element a simple method and then apply this method to rank 3 to discuss a class of arrangements of hyperplanes for the supersolvability. Moreover, the paper also introduced for the rank of a class 4 arrangements of hyperplanes for the supersolvability. but also pointed out that the process of making specific configuration of the supersolvability be the key to the rank of the 2 modular element.In the final text, the paper also from the point of view of the space of homogeneous equations gives the the necessary and sufficient conditions for rank 3 to arrangements of hyperplanes for the supersolvability.