标题： 从射影几何和仿射几何中的嵌套平面序列中产生的拟阵 显示英文标题

标题： Matroids Arising From Nested Sequences of Flats In Projective And Affine Geometries

摘要： 目标是来自射影几何中嵌套的平坦序列的拟阵。 这类拟阵由Nelson和Nomoto引入，他们发现了二进制目标的禁止诱导限制。 本文将他们的结果推广到来自$GF(q)$上的射影几何的目标。 我们还考虑来自仿射平坦嵌套序列的目标，并确定了仿射目标的禁止诱导限制。 显示英文摘要

摘要： Targets are matroids that arise from a nested sequence of flats in a projective geometry. This class of matroids was introduced by Nelson and Nomoto, who found the forbidden induced restrictions for binary targets. This paper generalizes their result to targets arising from projective geometries over $GF(q)$. We also consider targets arising from nested sequences of affine flats and determine the forbidden induced restrictions for affine targets.