A class of non-abelian 2-groups containing Menon difference sets

被引：0

作者：

Meisner, DB ^{[1
]}

Piper, FC ^{[1
]}

Wild, PR ^{[1
]}

机构：

[1] UNIV LONDON,ROYAL HOLLOWAY & BEDFORD NEW COLL,DEPT MATH,EGHAM TW20 0EX,SURREY,ENGLAND

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1997年 / 62卷 / 01期

关键词：

difference set; Menon; Hadamard; relative difference set; 2-group; non-abelian;

D O I：

10.1016/S0378-3758(96)00168-1

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We show that every group in a certain class of 2-groups contains a Menon difference set. This provides further positive evidence for a conjecture of Dillon concerning 2-groups of order 2(2l) which contain a normal subgroup isomorphic to Z(2)(l). The conjecture, however, remains open.

引用

页码：57 / 62

页数：6

共 6 条

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DAVIS, JA
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[2] VARIATIONS ON A SCHEME OF MCFARLAND FOR NONCYCLIC DIFFERENCE SETS
DILLON, JF
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1985, 40 (01) : 9 - 21
[3] JUNGNICKEL D, 1992, CONT DESIGN THEORY C, P241
[4] Kesava Menon P., 1962, Proceedings of the American Mathematical Society, V13, P739
[5] MEISNER DB, 1992, ANN DISCRETE MATH, V52, P365
[6] INFINITE FAMILIES OF PERFECT BINARY ARRAYS
WILD, P
[J]. ELECTRONICS LETTERS, 1988, 24 (14) : 845 - 847

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