Generalized Bhaskar Rao designs and dihedral groups

被引：0
|
作者：
Abel, RJR [1 ]
Combe, D
Palmer, WD
机构：
[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia
[2] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2004年 / 106卷 / 01期
关键词：
generalized Bhaskar Rao designs; pairwise balanced design; BIBD;
D O I：
10.1016/j.jcta.2004.01.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We solve the existence problem for generalized Bhaskar Rao designs of block size 3 for an infinite family of non-abelian groups, the dihedral groups D-n, of order 2n. In our main result we show that for n greater than or equal to 1 and v greater than or equal to 3 the following set of conditions is necessary and sufficient for the existence of a GBRD(v, 3, lambda; D-n): 1. lambda equivalent to 0 (mod 2n); 2. lambdav(v-1) equivalent to 0 (mod 24). (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：145 / 157
页数：13
相关论文
共 50 条
12345