论文标题

谐波矩阵中的谐波结合

Harmonic Conjugation in Harmonic Matroids

论文作者

Florez, Rigoberto

论文摘要

我们研究了谐波共轭概念从射影几何和完整代数矩阵到较大类称为\ emph {谐波Matroids}的较大类的矩形的概念。我们使用谐波共轭来构建一个谐波序列的投射平面,而无需使用弹性几何形状的公理。作为一种特殊情况,我们在完整的代数矩阵中具有构造平面的组合构造。

We study a generalization of the concept of harmonic conjugation from projective geometry and full algebraic matroids to a larger class of matroids called \emph{harmonic matroids}. We use harmonic conjugation to construct a projective plane of prime order in harmonic matroids without using the axioms of projective geometry. As a particular case we have a combinatorial construction of a projective plane of prime order in full algebraic matroids.

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