Partitions of finite vector spaces: an application of the Frobenius number in geometry

DOI10.1007/BF01226438zbMath0377.50006MaRDI QIDQ1246740

Publication date: 1978

Published in: Archiv der Mathematik (Search for Journal in Brave)

Combinatorial aspects of partitions of integers (05A17) Finite affine and projective planes (geometric aspects) (51E15) Elementary theory of partitions (11P81)

Related Items (22)

Vector spaces as unions of proper subspaces ⋮ A SURVEY OF THE DIFFERENT TYPES OF VECTOR SPACE PARTITIONS ⋮ The maximum size of a partial 3-spread in a finite vector space over \(\mathrm{GF}(2)\) ⋮ Decomposing the real line into Borel sets closed under addition ⋮ Metric dimension of some distance-regular graphs ⋮ Subspace partitions of \(\mathbb{F}_q^n\) containing direct sums. II: General case ⋮ Incidence matrices of finite attenuated spaces and class dimension of association schemes ⋮ The lattice of finite subspace partitions ⋮ On the metric dimension of bilinear forms graphs ⋮ Class dimension of association schemes in singular linear spaces ⋮ Subspace partitions of \(\mathbb{F}_q^n\) containing direct sums ⋮ The structure of the minimum size supertail of a subspace partition ⋮ Partitions of finite vector spaces over \(\mathrm{GF}(2)\) into subspaces of dimensions 2 and \(s\) ⋮ The doubly-transitive focal-spreads ⋮ Embeddings of partial T-partitions of finite vector spaces ⋮ Cameron-Liebler sets in bilinear forms graphs ⋮ The complete characterization of the minimum size supertail in a subspace partition ⋮ On vector space partitions and uniformly resolvable designs ⋮ On partitions of finite vector spaces of small dimensions ⋮ Necessary and sufficient conditions for the existence of a class of partitions of a finite vector space ⋮ On partitions of finite vector spaces of low dimension over \(\text{GF}(2)\) ⋮ The Frobenius number and partitions of a finite vector space

Cites Work

On the linear diophantine problem of Frobenius.

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