Collineations of finite 2-affine planes

被引：0

作者：

Günter F. Steinke

机构：

[1] University of Canterbury,School of Mathematics and Statistics

来源：

Designs, Codes and Cryptography | 2017年 / 85卷

关键词：

2-Affine plane; Affine plane; Projective plane; Collineation; Generalised perspectivity; Elation; 51A10; 51E14; 51E15; 51E26;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate collineations of finite 2-affine planes and show that with the exception of some 2-affine planes of order at most 4 each collineation is induced by a collineation of its projective completion. We further deal in more detail with 2-affine planes of type II and their collineations that fix each long line.

引用

页码：107 / 120

页数：13

共 50 条

[1] Collineations of finite 2-affine planes
Steinke, Gunter F.
DESIGNS CODES AND CRYPTOGRAPHY, 2017, 85 (01) : 107 - 120
[2] TRANSLATION PLANES WITH AFFINE CENTRAL COLLINEATIONS, 2
JOHNSON, NL
KALLAHER, MJ
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1976, 28 (01): : 116 - 129
[3] COLLINEATIONS OF AFFINE MOULTON PLANES
PIERCE, WA
CANADIAN JOURNAL OF MATHEMATICS, 1964, 16 (01): : 46 - &
[4] INVOLUTORY COLLINEATIONS OF FINITE PLANES
HO, CY
MATHEMATISCHE ZEITSCHRIFT, 1986, 193 (02) : 235 - 240
[5] Frobenius collineations in finite projective planes
Ueberberg, J
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 1997, 4 (04) : 473 - 492
[6] Incidence matrices and collineations of finite projective planes
Ho, CY
DESIGNS CODES AND CRYPTOGRAPHY, 1999, 18 (1-3) : 159 - 162
[7] 2-affine complete algebras need not be affine complete
Aichinger, E
ALGEBRA UNIVERSALIS, 2002, 47 (04) : 425 - 434
[8] 2-affine complete algebras need not be affine complete
Erhard Aichinger
algebra universalis, 2002, 47 : 425 - 434
[9] Incidence Matrices and Collineations of Finite Projective Planes
Chat Yin Ho
Designs, Codes and Cryptography, 1999, 18 : 159 - 162
[10] ORDER IN FINITE AFFINE PLANES
BEATTIE, M
MARSDEN, JE
SHARPE, RW
CANADIAN MATHEMATICAL BULLETIN, 1966, 9 (04): : 407 - &

← 1 2 3 4 5 →