On near hexagons and spreads of generalized quadrangles

被引：19

作者：

De Bruyn, B ^{[1
]}

机构：

[1] Dept Pure Math & Comp Algebra, B-9000 Ghent, Belgium

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2000年 / 11卷 / 03期

关键词：

spread; generalized quadrangle; near polygon;

D O I：

10.1023/A:1008709716107

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The glueing-construction described in this paper makes use of two generalized quadrangles with a spread in each of them and yields a partial linear space with special properties. We study the conditions under which glueing will give a near hexagon. These near hexagons satisfy the nice property that every two points at distance 2 are contained in a quad. We characterize the class of the "glued near hexagons" and give examples, some of which are new near hexagons.

引用

页码：211 / 226

页数：16

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