ELATION GENERALIZED QUADRANGLES FOR WHICH THE NUMBER OF LINES ON A POINT IS THE SUCCESSOR OF A PRIME

被引：4

作者：

Bamberg, John ^{[1
]}

Penttila, Tim ^{[2
]}

Schneider, Csaba ^{[3
]}

机构：

[1] Univ Ghent, Dept Pure Math, B-9000 Ghent, Belgium

[2] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

[3] Univ Lisbon, Ctr Algebra, P-1649003 Lisbon, Portugal

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2008年 / 85卷 / 03期

基金：

匈牙利科学研究基金会;

关键词：

elation generalized quadrangle; flock; p-group; Kantor family;

D O I：

10.1017/S1446788708000803

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that an elation generalized quadrangle that has p + 1 lines on each point, for some prime p, is classical or arises from a flock of a quadratic cone (that is, is a flock quadrangle).

引用

页码：289 / 303

页数：15

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