Lattices Generated by Orbits of Flats Under Finite Affine Unitary
Rui Mei · Shuxue de shijian yu renshi · 2009
Let AUG(n,Fq2) be the n-dimensional affine unitary space over the finite field Fq2,let AUn(Fq2) be the affine unitary group of degree n over Fq2.M(m,r) any orbit of(m,r) flats in under AUG(n,Fq2).Denote by L(m,r) the sets of flats which are intersections of flats in M(m,r).this paper discusses the relations of inclusion among sets generated by different orbits,a condition for which a flat is an element of set generated by the given orbit,and how the sets generated by orbits form the geometric lattices.