Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0748.05028
Kopilovich, L.E.
Difference sets in noncyclic Abelian groups. (English. Russian original)
[J] Cybernetics 25, No.2, 153-157 (1989); translation from Kibernetika 1989, No.2, 20-23 (1989). ISSN 0011-4235

Let $G$ be an additive Abelian group of order $v$. A $(v,k,\lambda)$- difference set in $G$ is the set $D$ of $k$ elements of $G$ such that any non-zero element $g\in G$ has $\lambda$ representations in the form $g=d\sb 1-d\sb 2$, where $d\sb 1$, $d\sb 2$ are two elements of $D$. The existence of $(v,k,\lambda)$-difference sets in non-cyclic Abelian groups was yet studied for $k\le 50$ by E. S. Lander. This paper continues this investigation for $k\le 100$. Five criteria of non-existence of a difference set are used. The results are listed in a table. In this table still some unsolved cases (denoted by the symbol?) remain.
[B.Zelinka (Liberec)]

MSC 2000:: *05B10 Difference sets
20D60 Arithmetic and combinatorial problems on finite groups

Keywords: difference set; Abelian group

Cited in: Zbl 1065.05022

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]