Two-transitive ovals in generalized twisted field planes

被引：0

作者：

M. Biliotti

V. Jha

N. L. Johnson

机构：

[1] Dipartimento di Matematica,

[2] Università di Lecce,undefined

[3] Via Arnesano,undefined

[4] 73100 Lecce,undefined

[5] Italy,undefined

[6] ¶ e-mail: biliotti@ilenic.unile.it,undefined

[7] Mathematics Department,undefined

[8] Caledonian University,undefined

[9] Cowcaddens Road,undefined

[10] Glasgow,undefined

[11] Scotland,undefined

[12] ¶ e-mail: vjha@gcal.ac.uk,undefined

[13] Mathematics Department,undefined

[14] University of Iowa,undefined

[15] Iowa City,undefined

[16] Iowa 52242,undefined

[17] USA¶ e-mail: njohnson@math.uiowa.edu,undefined

来源：

Archiv der Mathematik | 2002年 / 79卷

关键词：

Collineation Group; Field Plane; Twisted Field; Affine Point; Twisted Field Plane;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

It is shown that if a generalized twisted field plane \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $ \pi $\end{document} of even order contains a parabolic oval which is invariant under a collineation group acting two-transitively on its affine points then \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $ \pi $\end{document} is Desarguesian.

引用

页码：232 / 240

页数：8

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