Rank 3 Latin square designs

被引：10

作者：

Devillers, Alice

Hall, J. I.

机构：

[1] Univ Libre Bruxelles, Dept Math, B-1050 Brussels, Belgium

[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2006年 / 113卷 / 05期

关键词：

Latin square design; rank three permutation group;

D O I：

10.1016/j.jcta.2005.06.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Latin square design whose automorphism group is transitive of rank at most 3 on points must come from the multiplication table of an elementary abelian p-group, for some prime p. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：894 / 902

页数：9

共 8 条

[1]

[Anonymous], 1995, HDB INCIDENCE GEOMET

[2] CHEVALLEY-GROUPS OF TYPE-G2 AS THE GROUP OF A TRILINEAR FORM [J].

ASCHBACHER, M .

JOURNAL OF ALGEBRA, 1987, 109 (01) :193-259

[3] LATIN SQUARES WITH HIGHLY TRANSITIVE AUTOMORPHISM-GROUPS [J].

BAILEY, RA .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1982, 33 (AUG) :18-22

[4] The non-solvable rank 3 affine planes [J].

Biliotti, M ;

Johnson, NL .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 2001, 93 (02) :201-230

[5]

Cameron P.J., 1999, London Mathematical Society Student Texts, V45

[6]

DEVILLERS A, 2003, UNPUB FINITE PARTIAL

[7]

Jones W., 1976, P C FINITE GROUPS, P313

[8]

PRAEGER CE, 1989, J COMBIN MATH COMBIN, V5, P41

← 1 →