On incidence structures of nonsingular points and hyperbolic lines of ovoids in finite orthogonal spaces

John Fuelberth; Athula Gunawardena; C. David Shaffer

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On incidence structures of nonsingular points and hyperbolic lines of ovoids in finite orthogonal spaces

机译：有限正交空间中卵形的非奇异点和双曲线的入射结构

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We study the point-line incidence structures of nonsingular points and hyperbolic secant lines associated with ovoids in finite orthogonal spaces. We show that these incidence structures frequently produce partial linear spaces and the parameters of the bipartite graphs (called ovoidal graphs) associated with these structures produce simple and effective isomorphism invariants to distinguish non-isomorphic ovoids. We prove explicit formulas for these isomorphism invariants for a number of infinite families of 2-transitive ovoids.

机译：我们研究了有限正交空间中与卵形有关的非奇异点和双曲线割线的点线入射结构。我们表明，这些入射结构经常产生部分线性空间，并且与这些结构相关的二部图（称为卵形图）的参数产生简单有效的同构不变性，以区分非同构卵形。我们证明了无限的2个传递卵形族的这些同构不变量的显式公式。

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《Designs, Codes and Cryptography》 |2010年第1期|p.15-33|共19页
作者
John Fuelberth; Athula Gunawardena; C. David Shaffer;
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正文语种 eng
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关键词
Orthogonal space; Ovoid; Partial linear space; Ovoidal graph; Fingerprint;

机译：正交空间;卵形;局部线性空间;卵形图;指纹;

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1. On incidence structures of nonsingular points and hyperbolic lines of ovoids in finite orthogonal spaces [J] . John Fuelberth, rnAthula Gunawardena, C. David Shaffer Designs, Codes and Crytography . 2010,第1期

机译：有限正交空间中卵形的非奇异点和双曲线的入射结构
2. Finite incidence structures with orthogonality [J] . F. A. Sherk Canadian Journal of Mathematics . 1967,第1967期

机译：具有正交性的有限入射结构
3. Space-time residual distribution schemes for hyperbolic conservation laws on unstructured linear finite elements [J] . A. Csik, H. Deconinck International Journal for Numerical Methods in Fluids . 2002,第3a4期

机译：非结构线性有限元双曲守恒律的时空残差分布方案
4. Ovoids, spreads and m-systems of finite classical polar spaces [C] . J. A. Thas British Combinatorial Conference . 2001

机译：有限古典极地空间的卵形，涂抹和M系统
5. Finitely generated groups acting geometrically on generalized hyperbolic spaces. [D] . Ryang, Dohyoung. 2005

机译：在几何上作用于广义双曲空间的有限生成群。
6. K-OPLS package: Kernel-based orthogonal projections to latent structures for prediction and interpretation in feature space [O] . Max Bylesjö, Mattias Rantalainen, Jeremy K Nicholson, 2008

机译：K-OPLS软件包：对潜在结构的基于核的正交投影用于特征空间中的预测和解释
7. On Incidence Structures of Nonsingular Points and Hyperbolic Lines of Ovoids in Finite Orthogonal Spaces [O] . John Fuelberth, Athula Gunawardena, C. David Shaffer 2011

机译：有限正交空间中卵形的非奇异点和双曲线的入射结构
8. State-Space Minimal Realizations and Latent Structures of Column-Reduced and Nonsingular Polynomial Matrices [R] . Tsay, Y. T., Shieh, L. S., Barnett, S. 1985

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On incidence structures of nonsingular points and hyperbolic lines of ovoids in finite orthogonal spaces

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