zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Difference sets in noncyclic Abelian groups. (English. Russian original) Zbl 0748.05028
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.

05B10Difference sets
20D60Arithmetic and combinatorial problems on finite groups
Full Text: DOI