The Frobenius number and partitions of a finite vector space

DOI10.1007/BF01772942zbMath0563.15002MaRDI QIDQ1057338

Olof Heden

Publication date: 1984

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

zbMATH Keywords

finite fieldFrobenius numberfinite vector spaceT-partition

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Finite fields and commutative rings (number-theoretic aspects) (11T99) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (6)

Vector spaces as unions of proper subspaces ⋮ A SURVEY OF THE DIFFERENT TYPES OF VECTOR SPACE PARTITIONS ⋮ Decomposing the real line into Borel sets closed under addition ⋮ Interpolation between bases and the shuffle exchange network ⋮ Embeddings of partial T-partitions of finite vector spaces ⋮ On partitions of finite vector spaces of small dimensions

Cites Work

• Partitions of finite Abelian groups
• Partitions of a vector space
• Partitions of finite vector spaces: an application of the Frobenius number in geometry
• Group Partitions and Mixed Perfect Codes
• On the linear diophantine problem of Frobenius.

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