Asymptotic nonexistence of difference sets in dihedral groups

被引：6

作者：

Leung, KH

Schmidt, B

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

[2] Univ Augsburg, Inst Math, D-86135 Augsburg, Germany

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2002年 / 99卷 / 02期

关键词：

D O I：

10.1006/jcta.2002.3269

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that for any primes p(1),..., p(s), there are only finitely many numbers Pi(i=1)(s) p(i)(alphai) , alpha(i) is an element of Z(+), which can be orders of dihedral difference sets. We show that, with the possible exception of n = 540, 225, there is no difference set of order 11 with 1 < n less than or equal to 10(6) in any dihedral group. (C) 2002 Elsevier Science (USA).

引用

页码：261 / 280

页数：20

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